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Finding the Third Proportional to 69,571 and 150,258

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Solution

The third proportional to 69,571 and 150,258 is: 324,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,571 : 150,258 = 150,258 : x
  2. Step 2: Convert to fraction form
    69,571/150,258 = 150,258/x
  3. Step 3: Cross multiply
    69,571x = 150,258 × 150,258
  4. Step 4: Simplify right side
    69,571x = 22,577,466,564
  5. Step 5: Solve for x
    x = 22,577,466,564/69,571
  6. Step 6: Final answer
    x = 324,524.11

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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.