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Finding the Third Proportional to 75,723 and 166,674

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Solution

The third proportional to 75,723 and 166,674 is: 366,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,723 : 166,674 = 166,674 : x
  2. Step 2: Convert to fraction form
    75,723/166,674 = 166,674/x
  3. Step 3: Cross multiply
    75,723x = 166,674 × 166,674
  4. Step 4: Simplify right side
    75,723x = 27,780,222,276
  5. Step 5: Solve for x
    x = 27,780,222,276/75,723
  6. Step 6: Final answer
    x = 366,866.37

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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.