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Finding the Third Proportional to 84,892 and 184,546

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Solution

The third proportional to 84,892 and 184,546 is: 401,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,892 : 184,546 = 184,546 : x
  2. Step 2: Convert to fraction form
    84,892/184,546 = 184,546/x
  3. Step 3: Cross multiply
    84,892x = 184,546 × 184,546
  4. Step 4: Simplify right side
    84,892x = 34,057,226,116
  5. Step 5: Solve for x
    x = 34,057,226,116/84,892
  6. Step 6: Final answer
    x = 401,182.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.