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Finding the Third Proportional to 31,337 and 67,867

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Solution

The third proportional to 31,337 and 67,867 is: 146,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,337 : 67,867 = 67,867 : x
  2. Step 2: Convert to fraction form
    31,337/67,867 = 67,867/x
  3. Step 3: Cross multiply
    31,337x = 67,867 × 67,867
  4. Step 4: Simplify right side
    31,337x = 4,605,929,689
  5. Step 5: Solve for x
    x = 4,605,929,689/31,337
  6. Step 6: Final answer
    x = 146,980.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.