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Finding the Third Proportional to 69,643.88 and 150,371.25

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Solution

The third proportional to 69,643.88 and 150,371.25 is: 324,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,643.88 : 150,371.25 = 150,371.25 : x
  2. Step 2: Convert to fraction form
    69,643.88/150,371.25 = 150,371.25/x
  3. Step 3: Cross multiply
    69,643.88x = 150,371.25 × 150,371.25
  4. Step 4: Simplify right side
    69,643.88x = 22,611,512,826.56
  5. Step 5: Solve for x
    x = 22,611,512,826.56/69,643.88
  6. Step 6: Final answer
    x = 324,673.39

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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.