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Finding the Third Proportional to 69,296 and 149,600

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Solution

The third proportional to 69,296 and 149,600 is: 322,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,296 : 149,600 = 149,600 : x
  2. Step 2: Convert to fraction form
    69,296/149,600 = 149,600/x
  3. Step 3: Cross multiply
    69,296x = 149,600 × 149,600
  4. Step 4: Simplify right side
    69,296x = 22,380,160,000
  5. Step 5: Solve for x
    x = 22,380,160,000/69,296
  6. Step 6: Final answer
    x = 322,964.67

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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.