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Finding the Third Proportional to 79,744 and 123,496

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Solution

The third proportional to 79,744 and 123,496 is: 191,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,744 : 123,496 = 123,496 : x
  2. Step 2: Convert to fraction form
    79,744/123,496 = 123,496/x
  3. Step 3: Cross multiply
    79,744x = 123,496 × 123,496
  4. Step 4: Simplify right side
    79,744x = 15,251,262,016
  5. Step 5: Solve for x
    x = 15,251,262,016/79,744
  6. Step 6: Final answer
    x = 191,252.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.