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Finding the Third Proportional to 85,813 and 184,541

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Solution

The third proportional to 85,813 and 184,541 is: 396,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,813 : 184,541 = 184,541 : x
  2. Step 2: Convert to fraction form
    85,813/184,541 = 184,541/x
  3. Step 3: Cross multiply
    85,813x = 184,541 × 184,541
  4. Step 4: Simplify right side
    85,813x = 34,055,380,681
  5. Step 5: Solve for x
    x = 34,055,380,681/85,813
  6. Step 6: Final answer
    x = 396,855.73

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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.