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Finding the Third Proportional to 95,152 and 204,920

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Solution

The third proportional to 95,152 and 204,920 is: 441,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,152 : 204,920 = 204,920 : x
  2. Step 2: Convert to fraction form
    95,152/204,920 = 204,920/x
  3. Step 3: Cross multiply
    95,152x = 204,920 × 204,920
  4. Step 4: Simplify right side
    95,152x = 41,992,206,400
  5. Step 5: Solve for x
    x = 41,992,206,400/95,152
  6. Step 6: Final answer
    x = 441,317.12

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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.