Finding the Third Proportional to 77,780 and 120,662
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Solution
The third proportional to 77,780 and 120,662 is: 187,185.89
Step by Step Solution
- Step 1: Write the proportion equation
77,780 : 120,662 = 120,662 : x - Step 2: Convert to fraction form
77,780/120,662 = 120,662/x - Step 3: Cross multiply
77,780x = 120,662 × 120,662 - Step 4: Simplify right side
77,780x = 14,559,318,244 - Step 5: Solve for x
x = 14,559,318,244/77,780 - Step 6: Final answer
x = 187,185.89
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.