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Finding the Third Proportional to 63,843 and 102,868

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Solution

The third proportional to 63,843 and 102,868 is: 165,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,843 : 102,868 = 102,868 : x
  2. Step 2: Convert to fraction form
    63,843/102,868 = 102,868/x
  3. Step 3: Cross multiply
    63,843x = 102,868 × 102,868
  4. Step 4: Simplify right side
    63,843x = 10,581,825,424
  5. Step 5: Solve for x
    x = 10,581,825,424/63,843
  6. Step 6: Final answer
    x = 165,747.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.