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Finding the Third Proportional to 55,517.25 and 120,510.75

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Solution

The third proportional to 55,517.25 and 120,510.75 is: 261,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,517.25 : 120,510.75 = 120,510.75 : x
  2. Step 2: Convert to fraction form
    55,517.25/120,510.75 = 120,510.75/x
  3. Step 3: Cross multiply
    55,517.25x = 120,510.75 × 120,510.75
  4. Step 4: Simplify right side
    55,517.25x = 14,522,840,865.56
  5. Step 5: Solve for x
    x = 14,522,840,865.56/55,517.25
  6. Step 6: Final answer
    x = 261,591.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.