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Finding the Third Proportional to 95,780 and 204,592

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Solution

The third proportional to 95,780 and 204,592 is: 437,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,780 : 204,592 = 204,592 : x
  2. Step 2: Convert to fraction form
    95,780/204,592 = 204,592/x
  3. Step 3: Cross multiply
    95,780x = 204,592 × 204,592
  4. Step 4: Simplify right side
    95,780x = 41,857,886,464
  5. Step 5: Solve for x
    x = 41,857,886,464/95,780
  6. Step 6: Final answer
    x = 437,021.16

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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.