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Finding the Third Proportional to 92,550 and 125,414

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Solution

The third proportional to 92,550 and 125,414 is: 169,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,550 : 125,414 = 125,414 : x
  2. Step 2: Convert to fraction form
    92,550/125,414 = 125,414/x
  3. Step 3: Cross multiply
    92,550x = 125,414 × 125,414
  4. Step 4: Simplify right side
    92,550x = 15,728,671,396
  5. Step 5: Solve for x
    x = 15,728,671,396/92,550
  6. Step 6: Final answer
    x = 169,947.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.