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Finding the Third Proportional to 85,842 and 184,032

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Solution

The third proportional to 85,842 and 184,032 is: 394,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842 : 184,032 = 184,032 : x
  2. Step 2: Convert to fraction form
    85,842/184,032 = 184,032/x
  3. Step 3: Cross multiply
    85,842x = 184,032 × 184,032
  4. Step 4: Simplify right side
    85,842x = 33,867,777,024
  5. Step 5: Solve for x
    x = 33,867,777,024/85,842
  6. Step 6: Final answer
    x = 394,536.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.