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Finding the Third Proportional to 63,432 and 94,996

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Solution

The third proportional to 63,432 and 94,996 is: 142,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,432 : 94,996 = 94,996 : x
  2. Step 2: Convert to fraction form
    63,432/94,996 = 94,996/x
  3. Step 3: Cross multiply
    63,432x = 94,996 × 94,996
  4. Step 4: Simplify right side
    63,432x = 9,024,240,016
  5. Step 5: Solve for x
    x = 9,024,240,016/63,432
  6. Step 6: Final answer
    x = 142,266.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.