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Finding the Third Proportional to 50,198.25 and 80,724.38

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Solution

The third proportional to 50,198.25 and 80,724.38 is: 129,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.25 : 80,724.38 = 80,724.38 : x
  2. Step 2: Convert to fraction form
    50,198.25/80,724.38 = 80,724.38/x
  3. Step 3: Cross multiply
    50,198.25x = 80,724.38 × 80,724.38
  4. Step 4: Simplify right side
    50,198.25x = 6,516,424,719.14
  5. Step 5: Solve for x
    x = 6,516,424,719.14/50,198.25
  6. Step 6: Final answer
    x = 129,813.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.