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Finding the Third Proportional to 69,262 and 150,668

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Solution

The third proportional to 69,262 and 150,668 is: 327,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,262 : 150,668 = 150,668 : x
  2. Step 2: Convert to fraction form
    69,262/150,668 = 150,668/x
  3. Step 3: Cross multiply
    69,262x = 150,668 × 150,668
  4. Step 4: Simplify right side
    69,262x = 22,700,846,224
  5. Step 5: Solve for x
    x = 22,700,846,224/69,262
  6. Step 6: Final answer
    x = 327,753.26

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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.