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Finding the Third Proportional to 95,775 and 194,284

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Solution

The third proportional to 95,775 and 194,284 is: 394,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,775 : 194,284 = 194,284 : x
  2. Step 2: Convert to fraction form
    95,775/194,284 = 194,284/x
  3. Step 3: Cross multiply
    95,775x = 194,284 × 194,284
  4. Step 4: Simplify right side
    95,775x = 37,746,272,656
  5. Step 5: Solve for x
    x = 37,746,272,656/95,775
  6. Step 6: Final answer
    x = 394,114.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.