Finding the Third Proportional to 70,947.50 and 105,806
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Solution
The third proportional to 70,947.50 and 105,806 is: 157,791.46
Step by Step Solution
- Step 1: Write the proportion equation
70,947.50 : 105,806 = 105,806 : x - Step 2: Convert to fraction form
70,947.50/105,806 = 105,806/x - Step 3: Cross multiply
70,947.50x = 105,806 × 105,806 - Step 4: Simplify right side
70,947.50x = 11,194,909,636 - Step 5: Solve for x
x = 11,194,909,636/70,947.50 - Step 6: Final answer
x = 157,791.46
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.