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Finding the Third Proportional to 85,671 and 184,497.75

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Solution

The third proportional to 85,671 and 184,497.75 is: 397,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,671 : 184,497.75 = 184,497.75 : x
  2. Step 2: Convert to fraction form
    85,671/184,497.75 = 184,497.75/x
  3. Step 3: Cross multiply
    85,671x = 184,497.75 × 184,497.75
  4. Step 4: Simplify right side
    85,671x = 34,039,419,755.06
  5. Step 5: Solve for x
    x = 34,039,419,755.06/85,671
  6. Step 6: Final answer
    x = 397,327.21

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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.