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Finding the Third Proportional to 49,251 and 73,857

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Solution

The third proportional to 49,251 and 73,857 is: 110,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,251 : 73,857 = 73,857 : x
  2. Step 2: Convert to fraction form
    49,251/73,857 = 73,857/x
  3. Step 3: Cross multiply
    49,251x = 73,857 × 73,857
  4. Step 4: Simplify right side
    49,251x = 5,454,856,449
  5. Step 5: Solve for x
    x = 5,454,856,449/49,251
  6. Step 6: Final answer
    x = 110,756.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.