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Finding the Third Proportional to 71,474 and 161,162

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Solution

The third proportional to 71,474 and 161,162 is: 363,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474 : 161,162 = 161,162 : x
  2. Step 2: Convert to fraction form
    71,474/161,162 = 161,162/x
  3. Step 3: Cross multiply
    71,474x = 161,162 × 161,162
  4. Step 4: Simplify right side
    71,474x = 25,973,190,244
  5. Step 5: Solve for x
    x = 25,973,190,244/71,474
  6. Step 6: Final answer
    x = 363,393.55

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.