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Finding the Third Proportional to 50,601.75 and 80,425.13

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Solution

The third proportional to 50,601.75 and 80,425.13 is: 127,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,601.75 : 80,425.13 = 80,425.13 : x
  2. Step 2: Convert to fraction form
    50,601.75/80,425.13 = 80,425.13/x
  3. Step 3: Cross multiply
    50,601.75x = 80,425.13 × 80,425.13
  4. Step 4: Simplify right side
    50,601.75x = 6,468,200,731.27
  5. Step 5: Solve for x
    x = 6,468,200,731.27/50,601.75
  6. Step 6: Final answer
    x = 127,825.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.