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Finding the Third Proportional to 87,160 and 184,112

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Solution

The third proportional to 87,160 and 184,112 is: 388,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,160 : 184,112 = 184,112 : x
  2. Step 2: Convert to fraction form
    87,160/184,112 = 184,112/x
  3. Step 3: Cross multiply
    87,160x = 184,112 × 184,112
  4. Step 4: Simplify right side
    87,160x = 33,897,228,544
  5. Step 5: Solve for x
    x = 33,897,228,544/87,160
  6. Step 6: Final answer
    x = 388,908.08

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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.