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Finding the Third Proportional to 75,724 and 166,676

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Solution

The third proportional to 75,724 and 166,676 is: 366,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724 : 166,676 = 166,676 : x
  2. Step 2: Convert to fraction form
    75,724/166,676 = 166,676/x
  3. Step 3: Cross multiply
    75,724x = 166,676 × 166,676
  4. Step 4: Simplify right side
    75,724x = 27,780,888,976
  5. Step 5: Solve for x
    x = 27,780,888,976/75,724
  6. Step 6: Final answer
    x = 366,870.33

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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.