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Finding the Third Proportional to 95,129 and 204,975

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Solution

The third proportional to 95,129 and 204,975 is: 441,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,129 : 204,975 = 204,975 : x
  2. Step 2: Convert to fraction form
    95,129/204,975 = 204,975/x
  3. Step 3: Cross multiply
    95,129x = 204,975 × 204,975
  4. Step 4: Simplify right side
    95,129x = 42,014,750,625
  5. Step 5: Solve for x
    x = 42,014,750,625/95,129
  6. Step 6: Final answer
    x = 441,660.80

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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.