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Finding the Third Proportional to 95,606 and 207,796

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Solution

The third proportional to 95,606 and 207,796 is: 451,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,606 : 207,796 = 207,796 : x
  2. Step 2: Convert to fraction form
    95,606/207,796 = 207,796/x
  3. Step 3: Cross multiply
    95,606x = 207,796 × 207,796
  4. Step 4: Simplify right side
    95,606x = 43,179,177,616
  5. Step 5: Solve for x
    x = 43,179,177,616/95,606
  6. Step 6: Final answer
    x = 451,636.69

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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.