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Finding the Third Proportional to 120,474 and 161,001

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Solution

The third proportional to 120,474 and 161,001 is: 215,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,474 : 161,001 = 161,001 : x
  2. Step 2: Convert to fraction form
    120,474/161,001 = 161,001/x
  3. Step 3: Cross multiply
    120,474x = 161,001 × 161,001
  4. Step 4: Simplify right side
    120,474x = 25,921,322,001
  5. Step 5: Solve for x
    x = 25,921,322,001/120,474
  6. Step 6: Final answer
    x = 215,161.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.