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Finding the Third Proportional to 54,366.75 and 76,561

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Solution

The third proportional to 54,366.75 and 76,561 is: 107,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,366.75 : 76,561 = 76,561 : x
  2. Step 2: Convert to fraction form
    54,366.75/76,561 = 76,561/x
  3. Step 3: Cross multiply
    54,366.75x = 76,561 × 76,561
  4. Step 4: Simplify right side
    54,366.75x = 5,861,586,721
  5. Step 5: Solve for x
    x = 5,861,586,721/54,366.75
  6. Step 6: Final answer
    x = 107,815.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.