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Finding the Third Proportional to 85,877 and 184,449

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Solution

The third proportional to 85,877 and 184,449 is: 396,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,877 : 184,449 = 184,449 : x
  2. Step 2: Convert to fraction form
    85,877/184,449 = 184,449/x
  3. Step 3: Cross multiply
    85,877x = 184,449 × 184,449
  4. Step 4: Simplify right side
    85,877x = 34,021,433,601
  5. Step 5: Solve for x
    x = 34,021,433,601/85,877
  6. Step 6: Final answer
    x = 396,164.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.