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Finding the Third Proportional to 87,169 and 184,131

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Solution

The third proportional to 87,169 and 184,131 is: 388,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,169 : 184,131 = 184,131 : x
  2. Step 2: Convert to fraction form
    87,169/184,131 = 184,131/x
  3. Step 3: Cross multiply
    87,169x = 184,131 × 184,131
  4. Step 4: Simplify right side
    87,169x = 33,904,225,161
  5. Step 5: Solve for x
    x = 33,904,225,161/87,169
  6. Step 6: Final answer
    x = 388,948.19

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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.