Translations from IPT add-on are saved to JIRA Database (AO_ table).
You can also export translations as language pack (jar file with *.proprties files containing key/value pairs) from add-on adminitration section in JIRA > Administration > Add-ons.
Newest version of IPT allows admin to send translations directly to translations.atlassian.com website and share with others.
I don't remember exact table name. It will be related to IPT or TRANSLATION. You should simply find it on the list of tables which name starts with AO_.
Exporting translations to language pack is possible directly in JIRA from plugin configuration page. I have updated the answer to reflect that.
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