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Finding the Third Proportional to 43,926 and 95,802

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Solution

The third proportional to 43,926 and 95,802 is: 208,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,926 : 95,802 = 95,802 : x
  2. Step 2: Convert to fraction form
    43,926/95,802 = 95,802/x
  3. Step 3: Cross multiply
    43,926x = 95,802 × 95,802
  4. Step 4: Simplify right side
    43,926x = 9,178,023,204
  5. Step 5: Solve for x
    x = 9,178,023,204/43,926
  6. Step 6: Final answer
    x = 208,942.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.