Add the sugar and the water to the cold & hot blender and select the manual cook function on high. Cook for 10 minutes and pulse x 2 to get the mixture well blended. If you don't have the Cold & Hot Blender, make the simple syrup on the stove in a small saucepan and then pour into your high speed blender.
While the sugar and water is heating, cut the limes in half and reserve 1 half for garnish. Peel the skin off of the remaining limes, make sure to get the white part (pith) because it is bitter. You should be left with the flesh of the lime only. Peel the orange the same way, you will only use the flesh of the orange. Cut the cucumber into chunks
Add the jalapeño, cucumber, flesh from the limes and orange to the blender. Put the lid on and select the extract function. If you don't have the C&H Blender, then use the highest speed on your blender for about 45-60 seconds.
Strain the liquid through a fine sieve strainer to remove the pulp (reserve the pulp for frozen margaritas) and refrigerate until ready to mix up your margaritas. You can also freeze this mix for use later.