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Finding the Third Proportional to 69,206 and 106,923

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Solution

The third proportional to 69,206 and 106,923 is: 165,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206 : 106,923 = 106,923 : x
  2. Step 2: Convert to fraction form
    69,206/106,923 = 106,923/x
  3. Step 3: Cross multiply
    69,206x = 106,923 × 106,923
  4. Step 4: Simplify right side
    69,206x = 11,432,527,929
  5. Step 5: Solve for x
    x = 11,432,527,929/69,206
  6. Step 6: Final answer
    x = 165,195.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.