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Finding the Third Proportional to 95,519 and 205,132

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Solution

The third proportional to 95,519 and 205,132 is: 440,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,519 : 205,132 = 205,132 : x
  2. Step 2: Convert to fraction form
    95,519/205,132 = 205,132/x
  3. Step 3: Cross multiply
    95,519x = 205,132 × 205,132
  4. Step 4: Simplify right side
    95,519x = 42,079,137,424
  5. Step 5: Solve for x
    x = 42,079,137,424/95,519
  6. Step 6: Final answer
    x = 440,531.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.