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Finding the Third Proportional to 87,158 and 184,108

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Solution

The third proportional to 87,158 and 184,108 is: 388,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,158 : 184,108 = 184,108 : x
  2. Step 2: Convert to fraction form
    87,158/184,108 = 184,108/x
  3. Step 3: Cross multiply
    87,158x = 184,108 × 184,108
  4. Step 4: Simplify right side
    87,158x = 33,895,755,664
  5. Step 5: Solve for x
    x = 33,895,755,664/87,158
  6. Step 6: Final answer
    x = 388,900.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.