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Finding the Third Proportional to 62,735 and 89,432

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Solution

The third proportional to 62,735 and 89,432 is: 127,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,735 : 89,432 = 89,432 : x
  2. Step 2: Convert to fraction form
    62,735/89,432 = 89,432/x
  3. Step 3: Cross multiply
    62,735x = 89,432 × 89,432
  4. Step 4: Simplify right side
    62,735x = 7,998,082,624
  5. Step 5: Solve for x
    x = 7,998,082,624/62,735
  6. Step 6: Final answer
    x = 127,489.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.