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Finding the Third Proportional to 92,538 and 125,402

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Solution

The third proportional to 92,538 and 125,402 is: 169,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,538 : 125,402 = 125,402 : x
  2. Step 2: Convert to fraction form
    92,538/125,402 = 125,402/x
  3. Step 3: Cross multiply
    92,538x = 125,402 × 125,402
  4. Step 4: Simplify right side
    92,538x = 15,725,661,604
  5. Step 5: Solve for x
    x = 15,725,661,604/92,538
  6. Step 6: Final answer
    x = 169,937.34

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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.