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Finding the Third Proportional to 82,765 and 184,267

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Solution

The third proportional to 82,765 and 184,267 is: 410,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765 : 184,267 = 184,267 : x
  2. Step 2: Convert to fraction form
    82,765/184,267 = 184,267/x
  3. Step 3: Cross multiply
    82,765x = 184,267 × 184,267
  4. Step 4: Simplify right side
    82,765x = 33,954,327,289
  5. Step 5: Solve for x
    x = 33,954,327,289/82,765
  6. Step 6: Final answer
    x = 410,249.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.