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Finding the Third Proportional to 69,500 and 150,014

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Solution

The third proportional to 69,500 and 150,014 is: 323,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,500 : 150,014 = 150,014 : x
  2. Step 2: Convert to fraction form
    69,500/150,014 = 150,014/x
  3. Step 3: Cross multiply
    69,500x = 150,014 × 150,014
  4. Step 4: Simplify right side
    69,500x = 22,504,200,196
  5. Step 5: Solve for x
    x = 22,504,200,196/69,500
  6. Step 6: Final answer
    x = 323,801.44

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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.