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Finding the Third Proportional to 71,442 and 107,811

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Solution

The third proportional to 71,442 and 107,811 is: 162,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442 : 107,811 = 107,811 : x
  2. Step 2: Convert to fraction form
    71,442/107,811 = 107,811/x
  3. Step 3: Cross multiply
    71,442x = 107,811 × 107,811
  4. Step 4: Simplify right side
    71,442x = 11,623,211,721
  5. Step 5: Solve for x
    x = 11,623,211,721/71,442
  6. Step 6: Final answer
    x = 162,694.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.