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Finding the Third Proportional to 49,950 and 106,256

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Solution

The third proportional to 49,950 and 106,256 is: 226,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,950 : 106,256 = 106,256 : x
  2. Step 2: Convert to fraction form
    49,950/106,256 = 106,256/x
  3. Step 3: Cross multiply
    49,950x = 106,256 × 106,256
  4. Step 4: Simplify right side
    49,950x = 11,290,337,536
  5. Step 5: Solve for x
    x = 11,290,337,536/49,950
  6. Step 6: Final answer
    x = 226,032.78

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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.