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Finding the Third Proportional to 60,934 and 126,740

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Solution

The third proportional to 60,934 and 126,740 is: 263,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,934 : 126,740 = 126,740 : x
  2. Step 2: Convert to fraction form
    60,934/126,740 = 126,740/x
  3. Step 3: Cross multiply
    60,934x = 126,740 × 126,740
  4. Step 4: Simplify right side
    60,934x = 16,063,027,600
  5. Step 5: Solve for x
    x = 16,063,027,600/60,934
  6. Step 6: Final answer
    x = 263,613.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.