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Finding the Third Proportional to 137,068 and 215,067

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Solution

The third proportional to 137,068 and 215,067 is: 337,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,068 : 215,067 = 215,067 : x
  2. Step 2: Convert to fraction form
    137,068/215,067 = 215,067/x
  3. Step 3: Cross multiply
    137,068x = 215,067 × 215,067
  4. Step 4: Simplify right side
    137,068x = 46,253,814,489
  5. Step 5: Solve for x
    x = 46,253,814,489/137,068
  6. Step 6: Final answer
    x = 337,451.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.