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Finding the Third Proportional to 65,093 and 135,369

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Solution

The third proportional to 65,093 and 135,369 is: 281,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093 : 135,369 = 135,369 : x
  2. Step 2: Convert to fraction form
    65,093/135,369 = 135,369/x
  3. Step 3: Cross multiply
    65,093x = 135,369 × 135,369
  4. Step 4: Simplify right side
    65,093x = 18,324,766,161
  5. Step 5: Solve for x
    x = 18,324,766,161/65,093
  6. Step 6: Final answer
    x = 281,516.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.