Technically

Magic

Magic is a trick done to look like a miracle but its actually an illusion in disguise done to amaze us to think its an impossible event due to supernatural powers, when actually it just plays out on our sense and the performer usually has time to prepare the trick.

Miracle

A miracle is a truely impossible event that manifested against all impossible odds in the physical world without and explanation how it was possible

Theologically

Magic

Magic is believed to be like a temporal miracle invoked by performing incantations and rituals. It comes from evil powers, usually not perfect and doesnt last for long.

Miracle is an impossible event that manifested against all overwhelming odds in the physical world due to supernatural/spiritual powers i.e from GOD