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Finding the Third Proportional to 65,379 and 92,067

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Solution

The third proportional to 65,379 and 92,067 is: 129,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,379 : 92,067 = 92,067 : x
  2. Step 2: Convert to fraction form
    65,379/92,067 = 92,067/x
  3. Step 3: Cross multiply
    65,379x = 92,067 × 92,067
  4. Step 4: Simplify right side
    65,379x = 8,476,332,489
  5. Step 5: Solve for x
    x = 8,476,332,489/65,379
  6. Step 6: Final answer
    x = 129,649.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.