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Finding the Third Proportional to 69,239 and 150,629

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Solution

The third proportional to 69,239 and 150,629 is: 327,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,239 : 150,629 = 150,629 : x
  2. Step 2: Convert to fraction form
    69,239/150,629 = 150,629/x
  3. Step 3: Cross multiply
    69,239x = 150,629 × 150,629
  4. Step 4: Simplify right side
    69,239x = 22,689,095,641
  5. Step 5: Solve for x
    x = 22,689,095,641/69,239
  6. Step 6: Final answer
    x = 327,692.42

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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.