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Finding the Third Proportional to 63,524 and 94,972

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Solution

The third proportional to 63,524 and 94,972 is: 141,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,524 : 94,972 = 94,972 : x
  2. Step 2: Convert to fraction form
    63,524/94,972 = 94,972/x
  3. Step 3: Cross multiply
    63,524x = 94,972 × 94,972
  4. Step 4: Simplify right side
    63,524x = 9,019,680,784
  5. Step 5: Solve for x
    x = 9,019,680,784/63,524
  6. Step 6: Final answer
    x = 141,988.55

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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.