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Finding the Third Proportional to 101,941 and 213,176

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Solution

The third proportional to 101,941 and 213,176 is: 445,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,941 : 213,176 = 213,176 : x
  2. Step 2: Convert to fraction form
    101,941/213,176 = 213,176/x
  3. Step 3: Cross multiply
    101,941x = 213,176 × 213,176
  4. Step 4: Simplify right side
    101,941x = 45,444,006,976
  5. Step 5: Solve for x
    x = 45,444,006,976/101,941
  6. Step 6: Final answer
    x = 445,787.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.