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Finding the Third Proportional to 95,842 and 207,974

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Solution

The third proportional to 95,842 and 207,974 is: 451,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,842 : 207,974 = 207,974 : x
  2. Step 2: Convert to fraction form
    95,842/207,974 = 207,974/x
  3. Step 3: Cross multiply
    95,842x = 207,974 × 207,974
  4. Step 4: Simplify right side
    95,842x = 43,253,184,676
  5. Step 5: Solve for x
    x = 43,253,184,676/95,842
  6. Step 6: Final answer
    x = 451,296.77

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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.