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Finding the Third Proportional to 63,524 and 93,384

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Solution

The third proportional to 63,524 and 93,384 is: 137,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,524 : 93,384 = 93,384 : x
  2. Step 2: Convert to fraction form
    63,524/93,384 = 93,384/x
  3. Step 3: Cross multiply
    63,524x = 93,384 × 93,384
  4. Step 4: Simplify right side
    63,524x = 8,720,571,456
  5. Step 5: Solve for x
    x = 8,720,571,456/63,524
  6. Step 6: Final answer
    x = 137,279.95

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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.