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Finding the Third Proportional to 76,676 and 156,481.75

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Solution

The third proportional to 76,676 and 156,481.75 is: 319,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676 : 156,481.75 = 156,481.75 : x
  2. Step 2: Convert to fraction form
    76,676/156,481.75 = 156,481.75/x
  3. Step 3: Cross multiply
    76,676x = 156,481.75 × 156,481.75
  4. Step 4: Simplify right side
    76,676x = 24,486,538,083.06
  5. Step 5: Solve for x
    x = 24,486,538,083.06/76,676
  6. Step 6: Final answer
    x = 319,350.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.