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Finding the Third Proportional to 49,767 and 75,441

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Solution

The third proportional to 49,767 and 75,441 is: 114,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767 : 75,441 = 75,441 : x
  2. Step 2: Convert to fraction form
    49,767/75,441 = 75,441/x
  3. Step 3: Cross multiply
    49,767x = 75,441 × 75,441
  4. Step 4: Simplify right side
    49,767x = 5,691,344,481
  5. Step 5: Solve for x
    x = 5,691,344,481/49,767
  6. Step 6: Final answer
    x = 114,359.81

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Why These Related Problems?

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