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Finding the Third Proportional to 95,684 and 207,994

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Solution

The third proportional to 95,684 and 207,994 is: 452,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,684 : 207,994 = 207,994 : x
  2. Step 2: Convert to fraction form
    95,684/207,994 = 207,994/x
  3. Step 3: Cross multiply
    95,684x = 207,994 × 207,994
  4. Step 4: Simplify right side
    95,684x = 43,261,504,036
  5. Step 5: Solve for x
    x = 43,261,504,036/95,684
  6. Step 6: Final answer
    x = 452,128.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.