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Finding the Third Proportional to 71,866 and 151,180

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Solution

The third proportional to 71,866 and 151,180 is: 318,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,866 : 151,180 = 151,180 : x
  2. Step 2: Convert to fraction form
    71,866/151,180 = 151,180/x
  3. Step 3: Cross multiply
    71,866x = 151,180 × 151,180
  4. Step 4: Simplify right side
    71,866x = 22,855,392,400
  5. Step 5: Solve for x
    x = 22,855,392,400/71,866
  6. Step 6: Final answer
    x = 318,027.89

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