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Finding the Third Proportional to 51,324.75 and 76,237.88

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Solution

The third proportional to 51,324.75 and 76,237.88 is: 113,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324.75 : 76,237.88 = 76,237.88 : x
  2. Step 2: Convert to fraction form
    51,324.75/76,237.88 = 76,237.88/x
  3. Step 3: Cross multiply
    51,324.75x = 76,237.88 × 76,237.88
  4. Step 4: Simplify right side
    51,324.75x = 5,812,213,584.52
  5. Step 5: Solve for x
    x = 5,812,213,584.52/51,324.75
  6. Step 6: Final answer
    x = 113,243.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.