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Finding the Third Proportional to 31,779 and 67,919

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Solution

The third proportional to 31,779 and 67,919 is: 145,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779 : 67,919 = 67,919 : x
  2. Step 2: Convert to fraction form
    31,779/67,919 = 67,919/x
  3. Step 3: Cross multiply
    31,779x = 67,919 × 67,919
  4. Step 4: Simplify right side
    31,779x = 4,612,990,561
  5. Step 5: Solve for x
    x = 4,612,990,561/31,779
  6. Step 6: Final answer
    x = 145,158.46

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