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Finding the Third Proportional to 31,630 and 68,147

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Solution

The third proportional to 31,630 and 68,147 is: 146,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630 : 68,147 = 68,147 : x
  2. Step 2: Convert to fraction form
    31,630/68,147 = 68,147/x
  3. Step 3: Cross multiply
    31,630x = 68,147 × 68,147
  4. Step 4: Simplify right side
    31,630x = 4,644,013,609
  5. Step 5: Solve for x
    x = 4,644,013,609/31,630
  6. Step 6: Final answer
    x = 146,823.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.