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Finding the Third Proportional to 31,930 and 68,666

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Solution

The third proportional to 31,930 and 68,666 is: 147,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930 : 68,666 = 68,666 : x
  2. Step 2: Convert to fraction form
    31,930/68,666 = 68,666/x
  3. Step 3: Cross multiply
    31,930x = 68,666 × 68,666
  4. Step 4: Simplify right side
    31,930x = 4,715,019,556
  5. Step 5: Solve for x
    x = 4,715,019,556/31,930
  6. Step 6: Final answer
    x = 147,667.38

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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.