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Finding the Third Proportional to 66,750 and 135,342

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Solution

The third proportional to 66,750 and 135,342 is: 274,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,750 : 135,342 = 135,342 : x
  2. Step 2: Convert to fraction form
    66,750/135,342 = 135,342/x
  3. Step 3: Cross multiply
    66,750x = 135,342 × 135,342
  4. Step 4: Simplify right side
    66,750x = 18,317,456,964
  5. Step 5: Solve for x
    x = 18,317,456,964/66,750
  6. Step 6: Final answer
    x = 274,418.83

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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.