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Finding the Third Proportional to 87,270 and 184,926

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Solution

The third proportional to 87,270 and 184,926 is: 391,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,270 : 184,926 = 184,926 : x
  2. Step 2: Convert to fraction form
    87,270/184,926 = 184,926/x
  3. Step 3: Cross multiply
    87,270x = 184,926 × 184,926
  4. Step 4: Simplify right side
    87,270x = 34,197,625,476
  5. Step 5: Solve for x
    x = 34,197,625,476/87,270
  6. Step 6: Final answer
    x = 391,860.04

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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.