Can WordPress have shared content and a unique theme, URL, and menu for 3 sites

Hi,

I have searched through the forums and have not yet found something like I am wanting to do. If I missed it please forgive me (and point me to where it is).

What I want is Two(or more) themes, two(or more) urls, and same content except for 1 page.

To give you an example:
Site 1 – exampleurl.com – Unique Theme, all content shared with other sites.
Site 2 – dubai.exampleurl.com – Different theme than site 1 and same content as site 1 except for 1 page, different menu than site 1 (pointing to new page)
Site 3 – bermuda.exampleurl.com – Different theme than site 1+2 and same content as site 1 except for 1 page, different menu than site 1 (pointing to new page)

I hope that makes sense and wondering if I can do that with WordPress.

Thanks.

Rob