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Finding the Third Proportional to 57,432 and 86,150

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Solution

The third proportional to 57,432 and 86,150 is: 129,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,432 : 86,150 = 86,150 : x
  2. Step 2: Convert to fraction form
    57,432/86,150 = 86,150/x
  3. Step 3: Cross multiply
    57,432x = 86,150 × 86,150
  4. Step 4: Simplify right side
    57,432x = 7,421,822,500
  5. Step 5: Solve for x
    x = 7,421,822,500/57,432
  6. Step 6: Final answer
    x = 129,228.00

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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.