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Finding the Third Proportional to 38,059 and 80,221

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Solution

The third proportional to 38,059 and 80,221 is: 169,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,059 : 80,221 = 80,221 : x
  2. Step 2: Convert to fraction form
    38,059/80,221 = 80,221/x
  3. Step 3: Cross multiply
    38,059x = 80,221 × 80,221
  4. Step 4: Simplify right side
    38,059x = 6,435,408,841
  5. Step 5: Solve for x
    x = 6,435,408,841/38,059
  6. Step 6: Final answer
    x = 169,090.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.