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Finding the Third Proportional to 63,512 and 93,432

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Solution

The third proportional to 63,512 and 93,432 is: 137,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,512 : 93,432 = 93,432 : x
  2. Step 2: Convert to fraction form
    63,512/93,432 = 93,432/x
  3. Step 3: Cross multiply
    63,512x = 93,432 × 93,432
  4. Step 4: Simplify right side
    63,512x = 8,729,538,624
  5. Step 5: Solve for x
    x = 8,729,538,624/63,512
  6. Step 6: Final answer
    x = 137,447.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.