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Finding the Third Proportional to 69,525.84 and 150,120.84

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Solution

The third proportional to 69,525.84 and 150,120.84 is: 324,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,525.84 : 150,120.84 = 150,120.84 : x
  2. Step 2: Convert to fraction form
    69,525.84/150,120.84 = 150,120.84/x
  3. Step 3: Cross multiply
    69,525.84x = 150,120.84 × 150,120.84
  4. Step 4: Simplify right side
    69,525.84x = 22,536,267,728.21
  5. Step 5: Solve for x
    x = 22,536,267,728.21/69,525.84
  6. Step 6: Final answer
    x = 324,142.31

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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.