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Finding the Third Proportional to 87,266 and 184,918

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Solution

The third proportional to 87,266 and 184,918 is: 391,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,266 : 184,918 = 184,918 : x
  2. Step 2: Convert to fraction form
    87,266/184,918 = 184,918/x
  3. Step 3: Cross multiply
    87,266x = 184,918 × 184,918
  4. Step 4: Simplify right side
    87,266x = 34,194,666,724
  5. Step 5: Solve for x
    x = 34,194,666,724/87,266
  6. Step 6: Final answer
    x = 391,844.09

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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.