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Finding the Third Proportional to 85,903 and 184,107

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Solution

The third proportional to 85,903 and 184,107 is: 394,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,903 : 184,107 = 184,107 : x
  2. Step 2: Convert to fraction form
    85,903/184,107 = 184,107/x
  3. Step 3: Cross multiply
    85,903x = 184,107 × 184,107
  4. Step 4: Simplify right side
    85,903x = 33,895,387,449
  5. Step 5: Solve for x
    x = 33,895,387,449/85,903
  6. Step 6: Final answer
    x = 394,577.46

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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.