The meaning of 'corresponding'

The passage below is from a book, The Design of Everyday Things, as follows.

https://books.google.co.kr/books?id=nVQPAAAAQBAJ&pg=PT177&dq=%22The+collapsing+of+industries+is+still+taking+place%22&hl=ko&sa=X&ei=XzKZVeXHDKPEmAXkjY6QBw&ved=0CB0Q6AEwAA#v=onepage&q=%22The%20collapsing%20of%20industries%20is%20still%20taking%20place%22&f=false

But once the Internet took hold, along with enhanced and inexpensive computer power and displays, it became clear that all of these disparate industries were really just different forms of information providers, so that all could be conveyed to customers by a single medium. This redefinition collapses together the publishing, telephone, television and cable broadcasting, and music industries. We still have books, newspapers, and magazines, television shows and movies, musicians and music, but the way by which they are distributed has changed, thereby requiring massive restructuring of their corresponding industries. Electronic games, another radical innovation, are combining with film and video on the one hand, and books on the other, to form new types of interactive engagement. The collapsing of industries is still taking place, and what will replace them is not yet clear.

In this passage I want to ask two questions.

First, what does the underlined 'their' stand for?

It seems to represent 'books, newspapers, and magazines, television shows and movies, musicians and music.'

(Am I right?)

Last, the meaning of the underlined 'corresponding.'

It seems to mean the #3 of the meanings suggested below.

(Am I right?)

http://www.thefreedictionary.com/corresponding

adj.

1. identical in all essentials or respects:

? corresponding fingerprints.

2. similar in position, purpose, form, etc.:

? corresponding officials in two states.

3. associated in a working or other relationship:

? a bolt and its corresponding nut.

4. dealing with correspondence:

? a corresponding secretary.

5. employing the mails as a means of association:

? a corresponding member of a club.

Regards.