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Finding the Third Proportional to 51,086.25 and 76,700.25

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Solution

The third proportional to 51,086.25 and 76,700.25 is: 115,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,086.25 : 76,700.25 = 76,700.25 : x
  2. Step 2: Convert to fraction form
    51,086.25/76,700.25 = 76,700.25/x
  3. Step 3: Cross multiply
    51,086.25x = 76,700.25 × 76,700.25
  4. Step 4: Simplify right side
    51,086.25x = 5,882,928,350.06
  5. Step 5: Solve for x
    x = 5,882,928,350.06/51,086.25
  6. Step 6: Final answer
    x = 115,156.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.