While the article JAS pointed to which states computer monitors are not actually 72 DPI is true, it is also very true that they are very close to it. The 72dpi or 96dpi is based only on one of the dimensions which I believe is the vertical dimension. So, most people will see your images in and around 75dpi, a few - very few - will have adjusted their monitors to 96dpi but that would be the exception rather than the norm.
Most people who are publishing for the web will ensure that they publish at 75dpi for the very reason you wish to do so.
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