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Finding the Third Proportional to 59,212 and 126,866

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Solution

The third proportional to 59,212 and 126,866 is: 271,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,212 : 126,866 = 126,866 : x
  2. Step 2: Convert to fraction form
    59,212/126,866 = 126,866/x
  3. Step 3: Cross multiply
    59,212x = 126,866 × 126,866
  4. Step 4: Simplify right side
    59,212x = 16,094,981,956
  5. Step 5: Solve for x
    x = 16,094,981,956/59,212
  6. Step 6: Final answer
    x = 271,819.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.