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Finding the Third Proportional to 85,399 and 181,885

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Solution

The third proportional to 85,399 and 181,885 is: 387,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,399 : 181,885 = 181,885 : x
  2. Step 2: Convert to fraction form
    85,399/181,885 = 181,885/x
  3. Step 3: Cross multiply
    85,399x = 181,885 × 181,885
  4. Step 4: Simplify right side
    85,399x = 33,082,153,225
  5. Step 5: Solve for x
    x = 33,082,153,225/85,399
  6. Step 6: Final answer
    x = 387,383.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.