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Finding the Third Proportional to 49,540 and 75,462

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Solution

The third proportional to 49,540 and 75,462 is: 114,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,540 : 75,462 = 75,462 : x
  2. Step 2: Convert to fraction form
    49,540/75,462 = 75,462/x
  3. Step 3: Cross multiply
    49,540x = 75,462 × 75,462
  4. Step 4: Simplify right side
    49,540x = 5,694,513,444
  5. Step 5: Solve for x
    x = 5,694,513,444/49,540
  6. Step 6: Final answer
    x = 114,947.79

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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.