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Finding the Third Proportional to 68,098 and 112,542

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Solution

The third proportional to 68,098 and 112,542 is: 185,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098 : 112,542 = 112,542 : x
  2. Step 2: Convert to fraction form
    68,098/112,542 = 112,542/x
  3. Step 3: Cross multiply
    68,098x = 112,542 × 112,542
  4. Step 4: Simplify right side
    68,098x = 12,665,701,764
  5. Step 5: Solve for x
    x = 12,665,701,764/68,098
  6. Step 6: Final answer
    x = 185,992.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.