'Redirecting to other webpage without changing address

I have a webpage http://example.com. Using the htaccess file I'm redirecting users to the page https://other_domain.com:8081 if they type http://example.com/page in their browser. That works well but the problem is that when redirected, https://other_domain.com:8081 appears in the address bar of the browser. I have added the the following to the top of the htaccess file of the http://example.com webpage but still https://other_domain.com:8081 is shown as the address after redirection:

RewriteEngine On
RewriteRule ^page(.*)$ https://other_domain.com:8081$1 [L,P]
Redirect /page  https://other_domain.com:8081

How can this be resolved so that http://example.com/page is shown in the address bar instead of https://other_domain.com:8081?



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