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Finding the Third Proportional to 95,847 and 208,425

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Solution

The third proportional to 95,847 and 208,425 is: 453,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,847 : 208,425 = 208,425 : x
  2. Step 2: Convert to fraction form
    95,847/208,425 = 208,425/x
  3. Step 3: Cross multiply
    95,847x = 208,425 × 208,425
  4. Step 4: Simplify right side
    95,847x = 43,440,980,625
  5. Step 5: Solve for x
    x = 43,440,980,625/95,847
  6. Step 6: Final answer
    x = 453,232.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.