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Finding the Third Proportional to 66,757 and 135,356

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Solution

The third proportional to 66,757 and 135,356 is: 274,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,757 : 135,356 = 135,356 : x
  2. Step 2: Convert to fraction form
    66,757/135,356 = 135,356/x
  3. Step 3: Cross multiply
    66,757x = 135,356 × 135,356
  4. Step 4: Simplify right side
    66,757x = 18,321,246,736
  5. Step 5: Solve for x
    x = 18,321,246,736/66,757
  6. Step 6: Final answer
    x = 274,446.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.