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Finding the Third Proportional to 49,910 and 108,214

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Solution

The third proportional to 49,910 and 108,214 is: 234,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,910 : 108,214 = 108,214 : x
  2. Step 2: Convert to fraction form
    49,910/108,214 = 108,214/x
  3. Step 3: Cross multiply
    49,910x = 108,214 × 108,214
  4. Step 4: Simplify right side
    49,910x = 11,710,269,796
  5. Step 5: Solve for x
    x = 11,710,269,796/49,910
  6. Step 6: Final answer
    x = 234,627.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.