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Finding the Third Proportional to 87,966 and 193,974.75

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Solution

The third proportional to 87,966 and 193,974.75 is: 427,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,966 : 193,974.75 = 193,974.75 : x
  2. Step 2: Convert to fraction form
    87,966/193,974.75 = 193,974.75/x
  3. Step 3: Cross multiply
    87,966x = 193,974.75 × 193,974.75
  4. Step 4: Simplify right side
    87,966x = 37,626,203,637.56
  5. Step 5: Solve for x
    x = 37,626,203,637.56/87,966
  6. Step 6: Final answer
    x = 427,735.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.