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Finding the Third Proportional to 39,278 and 80,860

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Solution

The third proportional to 39,278 and 80,860 is: 166,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,278 : 80,860 = 80,860 : x
  2. Step 2: Convert to fraction form
    39,278/80,860 = 80,860/x
  3. Step 3: Cross multiply
    39,278x = 80,860 × 80,860
  4. Step 4: Simplify right side
    39,278x = 6,538,339,600
  5. Step 5: Solve for x
    x = 6,538,339,600/39,278
  6. Step 6: Final answer
    x = 166,463.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.