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Finding the Third Proportional to 95,744 and 204,520

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Solution

The third proportional to 95,744 and 204,520 is: 436,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,744 : 204,520 = 204,520 : x
  2. Step 2: Convert to fraction form
    95,744/204,520 = 204,520/x
  3. Step 3: Cross multiply
    95,744x = 204,520 × 204,520
  4. Step 4: Simplify right side
    95,744x = 41,828,430,400
  5. Step 5: Solve for x
    x = 41,828,430,400/95,744
  6. Step 6: Final answer
    x = 436,877.82

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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.