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Finding the Third Proportional to 75,347 and 161,180

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Solution

The third proportional to 75,347 and 161,180 is: 344,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,347 : 161,180 = 161,180 : x
  2. Step 2: Convert to fraction form
    75,347/161,180 = 161,180/x
  3. Step 3: Cross multiply
    75,347x = 161,180 × 161,180
  4. Step 4: Simplify right side
    75,347x = 25,978,992,400
  5. Step 5: Solve for x
    x = 25,978,992,400/75,347
  6. Step 6: Final answer
    x = 344,791.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.