Is "to be married" a transitive relation?

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If you define a relation on the set of people, given by $R=\{x,y : x\text{ is married with } y\}$. Is this relation transitive?

I would say it depends: In the western culture: If $x$ is married with $y$ and $y$ is married with $z$ then $z$ has to be $x$ and thus $x$ is also married with $z$. In cultures where you can be married to multiple persons it is not because $z$ is not necessarily $y$.

Am I right?