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Finding the Third Proportional to 117,919 and 166,694

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Solution

The third proportional to 117,919 and 166,694 is: 235,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,919 : 166,694 = 166,694 : x
  2. Step 2: Convert to fraction form
    117,919/166,694 = 166,694/x
  3. Step 3: Cross multiply
    117,919x = 166,694 × 166,694
  4. Step 4: Simplify right side
    117,919x = 27,786,889,636
  5. Step 5: Solve for x
    x = 27,786,889,636/117,919
  6. Step 6: Final answer
    x = 235,643.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.