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Finding the Third Proportional to 131,069 and 283,561

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Solution

The third proportional to 131,069 and 283,561 is: 613,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,069 : 283,561 = 283,561 : x
  2. Step 2: Convert to fraction form
    131,069/283,561 = 283,561/x
  3. Step 3: Cross multiply
    131,069x = 283,561 × 283,561
  4. Step 4: Simplify right side
    131,069x = 80,406,840,721
  5. Step 5: Solve for x
    x = 80,406,840,721/131,069
  6. Step 6: Final answer
    x = 613,469.55

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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.