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Finding the Third Proportional to 31,422 and 68,400

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Solution

The third proportional to 31,422 and 68,400 is: 148,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422 : 68,400 = 68,400 : x
  2. Step 2: Convert to fraction form
    31,422/68,400 = 68,400/x
  3. Step 3: Cross multiply
    31,422x = 68,400 × 68,400
  4. Step 4: Simplify right side
    31,422x = 4,678,560,000
  5. Step 5: Solve for x
    x = 4,678,560,000/31,422
  6. Step 6: Final answer
    x = 148,894.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.