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Finding the Third Proportional to 75,632 and 161,198

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Solution

The third proportional to 75,632 and 161,198 is: 343,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,632 : 161,198 = 161,198 : x
  2. Step 2: Convert to fraction form
    75,632/161,198 = 161,198/x
  3. Step 3: Cross multiply
    75,632x = 161,198 × 161,198
  4. Step 4: Simplify right side
    75,632x = 25,984,795,204
  5. Step 5: Solve for x
    x = 25,984,795,204/75,632
  6. Step 6: Final answer
    x = 343,568.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.