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Finding the Third Proportional to 87,198 and 184,773

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Solution

The third proportional to 87,198 and 184,773 is: 391,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,198 : 184,773 = 184,773 : x
  2. Step 2: Convert to fraction form
    87,198/184,773 = 184,773/x
  3. Step 3: Cross multiply
    87,198x = 184,773 × 184,773
  4. Step 4: Simplify right side
    87,198x = 34,141,061,529
  5. Step 5: Solve for x
    x = 34,141,061,529/87,198
  6. Step 6: Final answer
    x = 391,534.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.