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Finding the Third Proportional to 67,093 and 137,099

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Solution

The third proportional to 67,093 and 137,099 is: 280,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,093 : 137,099 = 137,099 : x
  2. Step 2: Convert to fraction form
    67,093/137,099 = 137,099/x
  3. Step 3: Cross multiply
    67,093x = 137,099 × 137,099
  4. Step 4: Simplify right side
    67,093x = 18,796,135,801
  5. Step 5: Solve for x
    x = 18,796,135,801/67,093
  6. Step 6: Final answer
    x = 280,150.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.