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Finding the Third Proportional to 69,500 and 135,544

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Solution

The third proportional to 69,500 and 135,544 is: 264,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,500 : 135,544 = 135,544 : x
  2. Step 2: Convert to fraction form
    69,500/135,544 = 135,544/x
  3. Step 3: Cross multiply
    69,500x = 135,544 × 135,544
  4. Step 4: Simplify right side
    69,500x = 18,372,175,936
  5. Step 5: Solve for x
    x = 18,372,175,936/69,500
  6. Step 6: Final answer
    x = 264,347.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.