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Finding the Third Proportional to 120,872.25 and 231,072.75

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Solution

The third proportional to 120,872.25 and 231,072.75 is: 441,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,872.25 : 231,072.75 = 231,072.75 : x
  2. Step 2: Convert to fraction form
    120,872.25/231,072.75 = 231,072.75/x
  3. Step 3: Cross multiply
    120,872.25x = 231,072.75 × 231,072.75
  4. Step 4: Simplify right side
    120,872.25x = 53,394,615,792.56
  5. Step 5: Solve for x
    x = 53,394,615,792.56/120,872.25
  6. Step 6: Final answer
    x = 441,744.20

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.