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Finding the Third Proportional to 69,382 and 149,296

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Solution

The third proportional to 69,382 and 149,296 is: 321,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,382 : 149,296 = 149,296 : x
  2. Step 2: Convert to fraction form
    69,382/149,296 = 149,296/x
  3. Step 3: Cross multiply
    69,382x = 149,296 × 149,296
  4. Step 4: Simplify right side
    69,382x = 22,289,295,616
  5. Step 5: Solve for x
    x = 22,289,295,616/69,382
  6. Step 6: Final answer
    x = 321,254.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.