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Finding the Third Proportional to 87,161 and 188,145

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Solution

The third proportional to 87,161 and 188,145 is: 406,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,161 : 188,145 = 188,145 : x
  2. Step 2: Convert to fraction form
    87,161/188,145 = 188,145/x
  3. Step 3: Cross multiply
    87,161x = 188,145 × 188,145
  4. Step 4: Simplify right side
    87,161x = 35,398,541,025
  5. Step 5: Solve for x
    x = 35,398,541,025/87,161
  6. Step 6: Final answer
    x = 406,128.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.