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Finding the Third Proportional to 71,406 and 106,327

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Solution

The third proportional to 71,406 and 106,327 is: 158,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406 : 106,327 = 106,327 : x
  2. Step 2: Convert to fraction form
    71,406/106,327 = 106,327/x
  3. Step 3: Cross multiply
    71,406x = 106,327 × 106,327
  4. Step 4: Simplify right side
    71,406x = 11,305,430,929
  5. Step 5: Solve for x
    x = 11,305,430,929/71,406
  6. Step 6: Final answer
    x = 158,326.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.