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Finding the Third Proportional to 87,186 and 184,836

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Solution

The third proportional to 87,186 and 184,836 is: 391,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,186 : 184,836 = 184,836 : x
  2. Step 2: Convert to fraction form
    87,186/184,836 = 184,836/x
  3. Step 3: Cross multiply
    87,186x = 184,836 × 184,836
  4. Step 4: Simplify right side
    87,186x = 34,164,346,896
  5. Step 5: Solve for x
    x = 34,164,346,896/87,186
  6. Step 6: Final answer
    x = 391,855.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.