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Finding the Third Proportional to 84,750 and 184,081

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Solution

The third proportional to 84,750 and 184,081 is: 399,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,750 : 184,081 = 184,081 : x
  2. Step 2: Convert to fraction form
    84,750/184,081 = 184,081/x
  3. Step 3: Cross multiply
    84,750x = 184,081 × 184,081
  4. Step 4: Simplify right side
    84,750x = 33,885,814,561
  5. Step 5: Solve for x
    x = 33,885,814,561/84,750
  6. Step 6: Final answer
    x = 399,832.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.