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Finding the Third Proportional to 85,814 and 184,543

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Solution

The third proportional to 85,814 and 184,543 is: 396,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814 : 184,543 = 184,543 : x
  2. Step 2: Convert to fraction form
    85,814/184,543 = 184,543/x
  3. Step 3: Cross multiply
    85,814x = 184,543 × 184,543
  4. Step 4: Simplify right side
    85,814x = 34,056,118,849
  5. Step 5: Solve for x
    x = 34,056,118,849/85,814
  6. Step 6: Final answer
    x = 396,859.71

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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.