Finding the Third Proportional to 42,706 and 65,092
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Solution
The third proportional to 42,706 and 65,092 is: 99,212.49
Step by Step Solution
- Step 1: Write the proportion equation
42,706 : 65,092 = 65,092 : x - Step 2: Convert to fraction form
42,706/65,092 = 65,092/x - Step 3: Cross multiply
42,706x = 65,092 × 65,092 - Step 4: Simplify right side
42,706x = 4,236,968,464 - Step 5: Solve for x
x = 4,236,968,464/42,706 - Step 6: Final answer
x = 99,212.49
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.