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Finding the Third Proportional to 49,997.25 and 76,565.25

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Solution

The third proportional to 49,997.25 and 76,565.25 is: 117,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,997.25 : 76,565.25 = 76,565.25 : x
  2. Step 2: Convert to fraction form
    49,997.25/76,565.25 = 76,565.25/x
  3. Step 3: Cross multiply
    49,997.25x = 76,565.25 × 76,565.25
  4. Step 4: Simplify right side
    49,997.25x = 5,862,237,507.56
  5. Step 5: Solve for x
    x = 5,862,237,507.56/49,997.25
  6. Step 6: Final answer
    x = 117,251.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.