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Finding the Third Proportional to 57,659 and 86,489

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Solution

The third proportional to 57,659 and 86,489 is: 129,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,659 : 86,489 = 86,489 : x
  2. Step 2: Convert to fraction form
    57,659/86,489 = 86,489/x
  3. Step 3: Cross multiply
    57,659x = 86,489 × 86,489
  4. Step 4: Simplify right side
    57,659x = 7,480,347,121
  5. Step 5: Solve for x
    x = 7,480,347,121/57,659
  6. Step 6: Final answer
    x = 129,734.25

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Why These Related Problems?

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