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Finding the Third Proportional to 73,774 and 158,067

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Solution

The third proportional to 73,774 and 158,067 is: 338,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,774 : 158,067 = 158,067 : x
  2. Step 2: Convert to fraction form
    73,774/158,067 = 158,067/x
  3. Step 3: Cross multiply
    73,774x = 158,067 × 158,067
  4. Step 4: Simplify right side
    73,774x = 24,985,176,489
  5. Step 5: Solve for x
    x = 24,985,176,489/73,774
  6. Step 6: Final answer
    x = 338,671.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.