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Finding the Third Proportional to 50,375.25 and 76,565.25

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Solution

The third proportional to 50,375.25 and 76,565.25 is: 116,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,375.25 : 76,565.25 = 76,565.25 : x
  2. Step 2: Convert to fraction form
    50,375.25/76,565.25 = 76,565.25/x
  3. Step 3: Cross multiply
    50,375.25x = 76,565.25 × 76,565.25
  4. Step 4: Simplify right side
    50,375.25x = 5,862,237,507.56
  5. Step 5: Solve for x
    x = 5,862,237,507.56/50,375.25
  6. Step 6: Final answer
    x = 116,371.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.