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Finding the Third Proportional to 95,168 and 204,952

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Solution

The third proportional to 95,168 and 204,952 is: 441,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,168 : 204,952 = 204,952 : x
  2. Step 2: Convert to fraction form
    95,168/204,952 = 204,952/x
  3. Step 3: Cross multiply
    95,168x = 204,952 × 204,952
  4. Step 4: Simplify right side
    95,168x = 42,005,322,304
  5. Step 5: Solve for x
    x = 42,005,322,304/95,168
  6. Step 6: Final answer
    x = 441,380.74

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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.