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Finding the Third Proportional to 49,344 and 75,244

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Solution

The third proportional to 49,344 and 75,244 is: 114,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 75,244 = 75,244 : x
  2. Step 2: Convert to fraction form
    49,344/75,244 = 75,244/x
  3. Step 3: Cross multiply
    49,344x = 75,244 × 75,244
  4. Step 4: Simplify right side
    49,344x = 5,661,659,536
  5. Step 5: Solve for x
    x = 5,661,659,536/49,344
  6. Step 6: Final answer
    x = 114,738.56

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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.