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Finding the Third Proportional to 75,933 and 116,198

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Solution

The third proportional to 75,933 and 116,198 is: 177,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,933 : 116,198 = 116,198 : x
  2. Step 2: Convert to fraction form
    75,933/116,198 = 116,198/x
  3. Step 3: Cross multiply
    75,933x = 116,198 × 116,198
  4. Step 4: Simplify right side
    75,933x = 13,501,975,204
  5. Step 5: Solve for x
    x = 13,501,975,204/75,933
  6. Step 6: Final answer
    x = 177,814.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.