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Finding the Third Proportional to 39,304 and 80,656

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Solution

The third proportional to 39,304 and 80,656 is: 165,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,304 : 80,656 = 80,656 : x
  2. Step 2: Convert to fraction form
    39,304/80,656 = 80,656/x
  3. Step 3: Cross multiply
    39,304x = 80,656 × 80,656
  4. Step 4: Simplify right side
    39,304x = 6,505,390,336
  5. Step 5: Solve for x
    x = 6,505,390,336/39,304
  6. Step 6: Final answer
    x = 165,514.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.