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Finding the Third Proportional to 33,157 and 67,846

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Solution

The third proportional to 33,157 and 67,846 is: 138,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157 : 67,846 = 67,846 : x
  2. Step 2: Convert to fraction form
    33,157/67,846 = 67,846/x
  3. Step 3: Cross multiply
    33,157x = 67,846 × 67,846
  4. Step 4: Simplify right side
    33,157x = 4,603,079,716
  5. Step 5: Solve for x
    x = 4,603,079,716/33,157
  6. Step 6: Final answer
    x = 138,826.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.