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Finding the Third Proportional to 49,974.75 and 106,422.75

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Solution

The third proportional to 49,974.75 and 106,422.75 is: 226,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,974.75 : 106,422.75 = 106,422.75 : x
  2. Step 2: Convert to fraction form
    49,974.75/106,422.75 = 106,422.75/x
  3. Step 3: Cross multiply
    49,974.75x = 106,422.75 × 106,422.75
  4. Step 4: Simplify right side
    49,974.75x = 11,325,801,717.56
  5. Step 5: Solve for x
    x = 11,325,801,717.56/49,974.75
  6. Step 6: Final answer
    x = 226,630.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.