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Finding the Third Proportional to 67,886 and 149,156

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Solution

The third proportional to 67,886 and 149,156 is: 327,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,886 : 149,156 = 149,156 : x
  2. Step 2: Convert to fraction form
    67,886/149,156 = 149,156/x
  3. Step 3: Cross multiply
    67,886x = 149,156 × 149,156
  4. Step 4: Simplify right side
    67,886x = 22,247,512,336
  5. Step 5: Solve for x
    x = 22,247,512,336/67,886
  6. Step 6: Final answer
    x = 327,718.71

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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.