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Finding the Third Proportional to 49,514 and 106,921

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Solution

The third proportional to 49,514 and 106,921 is: 230,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,514 : 106,921 = 106,921 : x
  2. Step 2: Convert to fraction form
    49,514/106,921 = 106,921/x
  3. Step 3: Cross multiply
    49,514x = 106,921 × 106,921
  4. Step 4: Simplify right side
    49,514x = 11,432,100,241
  5. Step 5: Solve for x
    x = 11,432,100,241/49,514
  6. Step 6: Final answer
    x = 230,886.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.