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Finding the Third Proportional to 49,898 and 110,872

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Solution

The third proportional to 49,898 and 110,872 is: 246,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898 : 110,872 = 110,872 : x
  2. Step 2: Convert to fraction form
    49,898/110,872 = 110,872/x
  3. Step 3: Cross multiply
    49,898x = 110,872 × 110,872
  4. Step 4: Simplify right side
    49,898x = 12,292,600,384
  5. Step 5: Solve for x
    x = 12,292,600,384/49,898
  6. Step 6: Final answer
    x = 246,354.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.