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Finding the Third Proportional to 85,707 and 184,171

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Solution

The third proportional to 85,707 and 184,171 is: 395,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,707 : 184,171 = 184,171 : x
  2. Step 2: Convert to fraction form
    85,707/184,171 = 184,171/x
  3. Step 3: Cross multiply
    85,707x = 184,171 × 184,171
  4. Step 4: Simplify right side
    85,707x = 33,918,957,241
  5. Step 5: Solve for x
    x = 33,918,957,241/85,707
  6. Step 6: Final answer
    x = 395,754.81

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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.