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Finding the Third Proportional to 74,676 and 156,266

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Solution

The third proportional to 74,676 and 156,266 is: 327,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,676 : 156,266 = 156,266 : x
  2. Step 2: Convert to fraction form
    74,676/156,266 = 156,266/x
  3. Step 3: Cross multiply
    74,676x = 156,266 × 156,266
  4. Step 4: Simplify right side
    74,676x = 24,419,062,756
  5. Step 5: Solve for x
    x = 24,419,062,756/74,676
  6. Step 6: Final answer
    x = 327,000.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.