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Finding the Third Proportional to 91,775 and 170,198

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Solution

The third proportional to 91,775 and 170,198 is: 315,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,775 : 170,198 = 170,198 : x
  2. Step 2: Convert to fraction form
    91,775/170,198 = 170,198/x
  3. Step 3: Cross multiply
    91,775x = 170,198 × 170,198
  4. Step 4: Simplify right side
    91,775x = 28,967,359,204
  5. Step 5: Solve for x
    x = 28,967,359,204/91,775
  6. Step 6: Final answer
    x = 315,634.53

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.