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Finding the Third Proportional to 107,692 and 169,374

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Solution

The third proportional to 107,692 and 169,374 is: 266,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,692 : 169,374 = 169,374 : x
  2. Step 2: Convert to fraction form
    107,692/169,374 = 169,374/x
  3. Step 3: Cross multiply
    107,692x = 169,374 × 169,374
  4. Step 4: Simplify right side
    107,692x = 28,687,551,876
  5. Step 5: Solve for x
    x = 28,687,551,876/107,692
  6. Step 6: Final answer
    x = 266,385.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.