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Finding the Third Proportional to 31,204 and 71,674

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Solution

The third proportional to 31,204 and 71,674 is: 164,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204 : 71,674 = 71,674 : x
  2. Step 2: Convert to fraction form
    31,204/71,674 = 71,674/x
  3. Step 3: Cross multiply
    31,204x = 71,674 × 71,674
  4. Step 4: Simplify right side
    31,204x = 5,137,162,276
  5. Step 5: Solve for x
    x = 5,137,162,276/31,204
  6. Step 6: Final answer
    x = 164,631.53

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.