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Finding the Third Proportional to 95,704 and 209,725

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Solution

The third proportional to 95,704 and 209,725 is: 459,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,704 : 209,725 = 209,725 : x
  2. Step 2: Convert to fraction form
    95,704/209,725 = 209,725/x
  3. Step 3: Cross multiply
    95,704x = 209,725 × 209,725
  4. Step 4: Simplify right side
    95,704x = 43,984,575,625
  5. Step 5: Solve for x
    x = 43,984,575,625/95,704
  6. Step 6: Final answer
    x = 459,589.73

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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.