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Finding the Third Proportional to 92,534 and 125,396

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Solution

The third proportional to 92,534 and 125,396 is: 169,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,534 : 125,396 = 125,396 : x
  2. Step 2: Convert to fraction form
    92,534/125,396 = 125,396/x
  3. Step 3: Cross multiply
    92,534x = 125,396 × 125,396
  4. Step 4: Simplify right side
    92,534x = 15,724,156,816
  5. Step 5: Solve for x
    x = 15,724,156,816/92,534
  6. Step 6: Final answer
    x = 169,928.42

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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.