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Finding the Third Proportional to 40,907 and 86,188

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Solution

The third proportional to 40,907 and 86,188 is: 181,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 86,188 = 86,188 : x
  2. Step 2: Convert to fraction form
    40,907/86,188 = 86,188/x
  3. Step 3: Cross multiply
    40,907x = 86,188 × 86,188
  4. Step 4: Simplify right side
    40,907x = 7,428,371,344
  5. Step 5: Solve for x
    x = 7,428,371,344/40,907
  6. Step 6: Final answer
    x = 181,591.69

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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.