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Finding the Third Proportional to 79,942 and 115,493

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Solution

The third proportional to 79,942 and 115,493 is: 166,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,942 : 115,493 = 115,493 : x
  2. Step 2: Convert to fraction form
    79,942/115,493 = 115,493/x
  3. Step 3: Cross multiply
    79,942x = 115,493 × 115,493
  4. Step 4: Simplify right side
    79,942x = 13,338,633,049
  5. Step 5: Solve for x
    x = 13,338,633,049/79,942
  6. Step 6: Final answer
    x = 166,853.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.