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Finding the Third Proportional to 43,474 and 95,282

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Solution

The third proportional to 43,474 and 95,282 is: 208,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,474 : 95,282 = 95,282 : x
  2. Step 2: Convert to fraction form
    43,474/95,282 = 95,282/x
  3. Step 3: Cross multiply
    43,474x = 95,282 × 95,282
  4. Step 4: Simplify right side
    43,474x = 9,078,659,524
  5. Step 5: Solve for x
    x = 9,078,659,524/43,474
  6. Step 6: Final answer
    x = 208,829.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.