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Finding the Third Proportional to 69,206 and 150,562

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Solution

The third proportional to 69,206 and 150,562 is: 327,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206 : 150,562 = 150,562 : x
  2. Step 2: Convert to fraction form
    69,206/150,562 = 150,562/x
  3. Step 3: Cross multiply
    69,206x = 150,562 × 150,562
  4. Step 4: Simplify right side
    69,206x = 22,668,915,844
  5. Step 5: Solve for x
    x = 22,668,915,844/69,206
  6. Step 6: Final answer
    x = 327,557.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.