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Finding the Third Proportional to 79,424 and 123,493

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Solution

The third proportional to 79,424 and 123,493 is: 192,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,424 : 123,493 = 123,493 : x
  2. Step 2: Convert to fraction form
    79,424/123,493 = 123,493/x
  3. Step 3: Cross multiply
    79,424x = 123,493 × 123,493
  4. Step 4: Simplify right side
    79,424x = 15,250,521,049
  5. Step 5: Solve for x
    x = 15,250,521,049/79,424
  6. Step 6: Final answer
    x = 192,014.01

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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.