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Finding the Third Proportional to 69,496 and 149,800

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Solution

The third proportional to 69,496 and 149,800 is: 322,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,496 : 149,800 = 149,800 : x
  2. Step 2: Convert to fraction form
    69,496/149,800 = 149,800/x
  3. Step 3: Cross multiply
    69,496x = 149,800 × 149,800
  4. Step 4: Simplify right side
    69,496x = 22,440,040,000
  5. Step 5: Solve for x
    x = 22,440,040,000/69,496
  6. Step 6: Final answer
    x = 322,896.86

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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.