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Finding the Third Proportional to 87,966 and 184,680

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Solution

The third proportional to 87,966 and 184,680 is: 387,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,966 : 184,680 = 184,680 : x
  2. Step 2: Convert to fraction form
    87,966/184,680 = 184,680/x
  3. Step 3: Cross multiply
    87,966x = 184,680 × 184,680
  4. Step 4: Simplify right side
    87,966x = 34,106,702,400
  5. Step 5: Solve for x
    x = 34,106,702,400/87,966
  6. Step 6: Final answer
    x = 387,725.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.