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Finding the Third Proportional to 67,462 and 137,245

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Solution

The third proportional to 67,462 and 137,245 is: 279,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,462 : 137,245 = 137,245 : x
  2. Step 2: Convert to fraction form
    67,462/137,245 = 137,245/x
  3. Step 3: Cross multiply
    67,462x = 137,245 × 137,245
  4. Step 4: Simplify right side
    67,462x = 18,836,190,025
  5. Step 5: Solve for x
    x = 18,836,190,025/67,462
  6. Step 6: Final answer
    x = 279,211.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.