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Finding the Third Proportional to 75,722.50 and 165,198

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Solution

The third proportional to 75,722.50 and 165,198 is: 360,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,722.50 : 165,198 = 165,198 : x
  2. Step 2: Convert to fraction form
    75,722.50/165,198 = 165,198/x
  3. Step 3: Cross multiply
    75,722.50x = 165,198 × 165,198
  4. Step 4: Simplify right side
    75,722.50x = 27,290,379,204
  5. Step 5: Solve for x
    x = 27,290,379,204/75,722.50
  6. Step 6: Final answer
    x = 360,399.87

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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.