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Finding the Third Proportional to 67,486 and 156,234

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Solution

The third proportional to 67,486 and 156,234 is: 361,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,486 : 156,234 = 156,234 : x
  2. Step 2: Convert to fraction form
    67,486/156,234 = 156,234/x
  3. Step 3: Cross multiply
    67,486x = 156,234 × 156,234
  4. Step 4: Simplify right side
    67,486x = 24,409,062,756
  5. Step 5: Solve for x
    x = 24,409,062,756/67,486
  6. Step 6: Final answer
    x = 361,690.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.