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Finding the Third Proportional to 123,086 and 176,016

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Solution

The third proportional to 123,086 and 176,016 is: 251,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,086 : 176,016 = 176,016 : x
  2. Step 2: Convert to fraction form
    123,086/176,016 = 176,016/x
  3. Step 3: Cross multiply
    123,086x = 176,016 × 176,016
  4. Step 4: Simplify right side
    123,086x = 30,981,632,256
  5. Step 5: Solve for x
    x = 30,981,632,256/123,086
  6. Step 6: Final answer
    x = 251,707.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.