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Finding the Third Proportional to 67,892 and 149,157

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Solution

The third proportional to 67,892 and 149,157 is: 327,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,892 : 149,157 = 149,157 : x
  2. Step 2: Convert to fraction form
    67,892/149,157 = 149,157/x
  3. Step 3: Cross multiply
    67,892x = 149,157 × 149,157
  4. Step 4: Simplify right side
    67,892x = 22,247,810,649
  5. Step 5: Solve for x
    x = 22,247,810,649/67,892
  6. Step 6: Final answer
    x = 327,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.