The plural of third party is third parties.
Third party inspection companies | Third party inspection services
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I would be first party, you would be second party, he or she would be third party.
An example sentence using "third party" could be: "I hired a third party company to handle the event planning for the conference."
An independent third party is simply called an independent party. This is typically a political party that does not affiliate with the republican or democratic side.
Third Party
The Green Party is a third party and was formed in the US
the third party dies down
Are third party exemptions froze?
Third Force Party was created in 1979.
Third Nationalist Party was created in 1959.