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Finding the Third Proportional to 71,125 and 106,877

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Solution

The third proportional to 71,125 and 106,877 is: 160,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,125 : 106,877 = 106,877 : x
  2. Step 2: Convert to fraction form
    71,125/106,877 = 106,877/x
  3. Step 3: Cross multiply
    71,125x = 106,877 × 106,877
  4. Step 4: Simplify right side
    71,125x = 11,422,693,129
  5. Step 5: Solve for x
    x = 11,422,693,129/71,125
  6. Step 6: Final answer
    x = 160,600.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.