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Finding the Third Proportional to 67,542 and 115,893

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Solution

The third proportional to 67,542 and 115,893 is: 198,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,542 : 115,893 = 115,893 : x
  2. Step 2: Convert to fraction form
    67,542/115,893 = 115,893/x
  3. Step 3: Cross multiply
    67,542x = 115,893 × 115,893
  4. Step 4: Simplify right side
    67,542x = 13,431,187,449
  5. Step 5: Solve for x
    x = 13,431,187,449/67,542
  6. Step 6: Final answer
    x = 198,856.82

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.