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Finding the Third Proportional to 96,142 and 204,794

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Solution

The third proportional to 96,142 and 204,794 is: 436,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,142 : 204,794 = 204,794 : x
  2. Step 2: Convert to fraction form
    96,142/204,794 = 204,794/x
  3. Step 3: Cross multiply
    96,142x = 204,794 × 204,794
  4. Step 4: Simplify right side
    96,142x = 41,940,582,436
  5. Step 5: Solve for x
    x = 41,940,582,436/96,142
  6. Step 6: Final answer
    x = 436,235.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.