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Finding the Third Proportional to 80,941 and 165,092

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Solution

The third proportional to 80,941 and 165,092 is: 336,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,941 : 165,092 = 165,092 : x
  2. Step 2: Convert to fraction form
    80,941/165,092 = 165,092/x
  3. Step 3: Cross multiply
    80,941x = 165,092 × 165,092
  4. Step 4: Simplify right side
    80,941x = 27,255,368,464
  5. Step 5: Solve for x
    x = 27,255,368,464/80,941
  6. Step 6: Final answer
    x = 336,731.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.