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Finding the Third Proportional to 95,138 and 204,992

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Solution

The third proportional to 95,138 and 204,992 is: 441,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,138 : 204,992 = 204,992 : x
  2. Step 2: Convert to fraction form
    95,138/204,992 = 204,992/x
  3. Step 3: Cross multiply
    95,138x = 204,992 × 204,992
  4. Step 4: Simplify right side
    95,138x = 42,021,720,064
  5. Step 5: Solve for x
    x = 42,021,720,064/95,138
  6. Step 6: Final answer
    x = 441,692.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.