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Finding the Third Proportional to 62,432 and 93,648

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Solution

The third proportional to 62,432 and 93,648 is: 140,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,432 : 93,648 = 93,648 : x
  2. Step 2: Convert to fraction form
    62,432/93,648 = 93,648/x
  3. Step 3: Cross multiply
    62,432x = 93,648 × 93,648
  4. Step 4: Simplify right side
    62,432x = 8,769,947,904
  5. Step 5: Solve for x
    x = 8,769,947,904/62,432
  6. Step 6: Final answer
    x = 140,472

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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.