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Finding the Third Proportional to 87,270 and 181,016

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Solution

The third proportional to 87,270 and 181,016 is: 375,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,270 : 181,016 = 181,016 : x
  2. Step 2: Convert to fraction form
    87,270/181,016 = 181,016/x
  3. Step 3: Cross multiply
    87,270x = 181,016 × 181,016
  4. Step 4: Simplify right side
    87,270x = 32,766,792,256
  5. Step 5: Solve for x
    x = 32,766,792,256/87,270
  6. Step 6: Final answer
    x = 375,464.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.