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Finding the Third Proportional to 80,129.25 and 171,375.75

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Solution

The third proportional to 80,129.25 and 171,375.75 is: 366,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,129.25 : 171,375.75 = 171,375.75 : x
  2. Step 2: Convert to fraction form
    80,129.25/171,375.75 = 171,375.75/x
  3. Step 3: Cross multiply
    80,129.25x = 171,375.75 × 171,375.75
  4. Step 4: Simplify right side
    80,129.25x = 29,369,647,688.06
  5. Step 5: Solve for x
    x = 29,369,647,688.06/80,129.25
  6. Step 6: Final answer
    x = 366,528.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.