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Finding the Third Proportional to 59,124 and 86,957

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Solution

The third proportional to 59,124 and 86,957 is: 127,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,124 : 86,957 = 86,957 : x
  2. Step 2: Convert to fraction form
    59,124/86,957 = 86,957/x
  3. Step 3: Cross multiply
    59,124x = 86,957 × 86,957
  4. Step 4: Simplify right side
    59,124x = 7,561,519,849
  5. Step 5: Solve for x
    x = 7,561,519,849/59,124
  6. Step 6: Final answer
    x = 127,892.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.