Pass authentication to another application

[Rob Brooks]

Hello, I use shibboleth SP to authenticate against a PING Federated IdP
(not in my control) for my web application.  I want to provide a link in my
application that then passes this authentication on to another
application.  Can you help me to understand this process flow?  The 3rd
party application that needs authentication has its own SSO SP (not sure of
product) and I have the ear of their developers and can suggest workflow.
The Ping Federated server would be harder to implement change with.

Thanks,
Rob Brooks
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