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Finding the Third Proportional to 87,966 and 189,756

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Solution

The third proportional to 87,966 and 189,756 is: 409,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,966 : 189,756 = 189,756 : x
  2. Step 2: Convert to fraction form
    87,966/189,756 = 189,756/x
  3. Step 3: Cross multiply
    87,966x = 189,756 × 189,756
  4. Step 4: Simplify right side
    87,966x = 36,007,339,536
  5. Step 5: Solve for x
    x = 36,007,339,536/87,966
  6. Step 6: Final answer
    x = 409,332.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.