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Finding the Third Proportional to 49,831 and 106,122

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Solution

The third proportional to 49,831 and 106,122 is: 226,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,831 : 106,122 = 106,122 : x
  2. Step 2: Convert to fraction form
    49,831/106,122 = 106,122/x
  3. Step 3: Cross multiply
    49,831x = 106,122 × 106,122
  4. Step 4: Simplify right side
    49,831x = 11,261,878,884
  5. Step 5: Solve for x
    x = 11,261,878,884/49,831
  6. Step 6: Final answer
    x = 226,001.46

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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.