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Finding the Third Proportional to 95,743 and 204,518

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Solution

The third proportional to 95,743 and 204,518 is: 436,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,743 : 204,518 = 204,518 : x
  2. Step 2: Convert to fraction form
    95,743/204,518 = 204,518/x
  3. Step 3: Cross multiply
    95,743x = 204,518 × 204,518
  4. Step 4: Simplify right side
    95,743x = 41,827,612,324
  5. Step 5: Solve for x
    x = 41,827,612,324/95,743
  6. Step 6: Final answer
    x = 436,873.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.