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Finding the Third Proportional to 31,240 and 67,401

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Solution

The third proportional to 31,240 and 67,401 is: 145,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240 : 67,401 = 67,401 : x
  2. Step 2: Convert to fraction form
    31,240/67,401 = 67,401/x
  3. Step 3: Cross multiply
    31,240x = 67,401 × 67,401
  4. Step 4: Simplify right side
    31,240x = 4,542,894,801
  5. Step 5: Solve for x
    x = 4,542,894,801/31,240
  6. Step 6: Final answer
    x = 145,419.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.