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Finding the Third Proportional to 57,902 and 86,606

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Solution

The third proportional to 57,902 and 86,606 is: 129,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902 : 86,606 = 86,606 : x
  2. Step 2: Convert to fraction form
    57,902/86,606 = 86,606/x
  3. Step 3: Cross multiply
    57,902x = 86,606 × 86,606
  4. Step 4: Simplify right side
    57,902x = 7,500,599,236
  5. Step 5: Solve for x
    x = 7,500,599,236/57,902
  6. Step 6: Final answer
    x = 129,539.55

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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.