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Finding the Third Proportional to 71,086.50 and 150,327

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Solution

The third proportional to 71,086.50 and 150,327 is: 317,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086.50 : 150,327 = 150,327 : x
  2. Step 2: Convert to fraction form
    71,086.50/150,327 = 150,327/x
  3. Step 3: Cross multiply
    71,086.50x = 150,327 × 150,327
  4. Step 4: Simplify right side
    71,086.50x = 22,598,206,929
  5. Step 5: Solve for x
    x = 22,598,206,929/71,086.50
  6. Step 6: Final answer
    x = 317,897.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.