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Finding the Third Proportional to 79,142 and 173,836

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Solution

The third proportional to 79,142 and 173,836 is: 381,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,142 : 173,836 = 173,836 : x
  2. Step 2: Convert to fraction form
    79,142/173,836 = 173,836/x
  3. Step 3: Cross multiply
    79,142x = 173,836 × 173,836
  4. Step 4: Simplify right side
    79,142x = 30,218,954,896
  5. Step 5: Solve for x
    x = 30,218,954,896/79,142
  6. Step 6: Final answer
    x = 381,832.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.