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Finding the Third Proportional to 69,825 and 150,722

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Solution

The third proportional to 69,825 and 150,722 is: 325,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,825 : 150,722 = 150,722 : x
  2. Step 2: Convert to fraction form
    69,825/150,722 = 150,722/x
  3. Step 3: Cross multiply
    69,825x = 150,722 × 150,722
  4. Step 4: Simplify right side
    69,825x = 22,717,121,284
  5. Step 5: Solve for x
    x = 22,717,121,284/69,825
  6. Step 6: Final answer
    x = 325,343.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.