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Finding the Third Proportional to 87,077 and 177,844

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Solution

The third proportional to 87,077 and 177,844 is: 363,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,077 : 177,844 = 177,844 : x
  2. Step 2: Convert to fraction form
    87,077/177,844 = 177,844/x
  3. Step 3: Cross multiply
    87,077x = 177,844 × 177,844
  4. Step 4: Simplify right side
    87,077x = 31,628,488,336
  5. Step 5: Solve for x
    x = 31,628,488,336/87,077
  6. Step 6: Final answer
    x = 363,224.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.