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Finding the Third Proportional to 87,170 and 184,806

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Solution

The third proportional to 87,170 and 184,806 is: 391,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,170 : 184,806 = 184,806 : x
  2. Step 2: Convert to fraction form
    87,170/184,806 = 184,806/x
  3. Step 3: Cross multiply
    87,170x = 184,806 × 184,806
  4. Step 4: Simplify right side
    87,170x = 34,153,257,636
  5. Step 5: Solve for x
    x = 34,153,257,636/87,170
  6. Step 6: Final answer
    x = 391,800.59

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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.