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Finding the Third Proportional to 59,198 and 126,806

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Solution

The third proportional to 59,198 and 126,806 is: 271,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,198 : 126,806 = 126,806 : x
  2. Step 2: Convert to fraction form
    59,198/126,806 = 126,806/x
  3. Step 3: Cross multiply
    59,198x = 126,806 × 126,806
  4. Step 4: Simplify right side
    59,198x = 16,079,761,636
  5. Step 5: Solve for x
    x = 16,079,761,636/59,198
  6. Step 6: Final answer
    x = 271,626.77

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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.