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Finding the Third Proportional to 77,940 and 171,768

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Solution

The third proportional to 77,940 and 171,768 is: 378,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,940 : 171,768 = 171,768 : x
  2. Step 2: Convert to fraction form
    77,940/171,768 = 171,768/x
  3. Step 3: Cross multiply
    77,940x = 171,768 × 171,768
  4. Step 4: Simplify right side
    77,940x = 29,504,245,824
  5. Step 5: Solve for x
    x = 29,504,245,824/77,940
  6. Step 6: Final answer
    x = 378,550.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.