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Finding the Third Proportional to 67,874 and 140,404

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Solution

The third proportional to 67,874 and 140,404 is: 290,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874 : 140,404 = 140,404 : x
  2. Step 2: Convert to fraction form
    67,874/140,404 = 140,404/x
  3. Step 3: Cross multiply
    67,874x = 140,404 × 140,404
  4. Step 4: Simplify right side
    67,874x = 19,713,283,216
  5. Step 5: Solve for x
    x = 19,713,283,216/67,874
  6. Step 6: Final answer
    x = 290,439.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.