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Finding the Third Proportional to 63,432 and 89,100

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Solution

The third proportional to 63,432 and 89,100 is: 125,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,432 : 89,100 = 89,100 : x
  2. Step 2: Convert to fraction form
    63,432/89,100 = 89,100/x
  3. Step 3: Cross multiply
    63,432x = 89,100 × 89,100
  4. Step 4: Simplify right side
    63,432x = 7,938,810,000
  5. Step 5: Solve for x
    x = 7,938,810,000/63,432
  6. Step 6: Final answer
    x = 125,154.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.