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Finding the Third Proportional to 40,169.25 and 82,181.25

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Solution

The third proportional to 40,169.25 and 82,181.25 is: 168,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,169.25 : 82,181.25 = 82,181.25 : x
  2. Step 2: Convert to fraction form
    40,169.25/82,181.25 = 82,181.25/x
  3. Step 3: Cross multiply
    40,169.25x = 82,181.25 × 82,181.25
  4. Step 4: Simplify right side
    40,169.25x = 6,753,757,851.56
  5. Step 5: Solve for x
    x = 6,753,757,851.56/40,169.25
  6. Step 6: Final answer
    x = 168,132.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.