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Finding the Third Proportional to 106,263 and 218,757

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Solution

The third proportional to 106,263 and 218,757 is: 450,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,263 : 218,757 = 218,757 : x
  2. Step 2: Convert to fraction form
    106,263/218,757 = 218,757/x
  3. Step 3: Cross multiply
    106,263x = 218,757 × 218,757
  4. Step 4: Simplify right side
    106,263x = 47,854,625,049
  5. Step 5: Solve for x
    x = 47,854,625,049/106,263
  6. Step 6: Final answer
    x = 450,341.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.