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Finding the Third Proportional to 71,866 and 151,181

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Solution

The third proportional to 71,866 and 151,181 is: 318,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,866 : 151,181 = 151,181 : x
  2. Step 2: Convert to fraction form
    71,866/151,181 = 151,181/x
  3. Step 3: Cross multiply
    71,866x = 151,181 × 151,181
  4. Step 4: Simplify right side
    71,866x = 22,855,694,761
  5. Step 5: Solve for x
    x = 22,855,694,761/71,866
  6. Step 6: Final answer
    x = 318,032.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.