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Finding the Third Proportional to 87,156 and 184,104

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Solution

The third proportional to 87,156 and 184,104 is: 388,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,156 : 184,104 = 184,104 : x
  2. Step 2: Convert to fraction form
    87,156/184,104 = 184,104/x
  3. Step 3: Cross multiply
    87,156x = 184,104 × 184,104
  4. Step 4: Simplify right side
    87,156x = 33,894,282,816
  5. Step 5: Solve for x
    x = 33,894,282,816/87,156
  6. Step 6: Final answer
    x = 388,892.13

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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.