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Finding the Third Proportional to 66,469.50 and 142,812

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Solution

The third proportional to 66,469.50 and 142,812 is: 306,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,469.50 : 142,812 = 142,812 : x
  2. Step 2: Convert to fraction form
    66,469.50/142,812 = 142,812/x
  3. Step 3: Cross multiply
    66,469.50x = 142,812 × 142,812
  4. Step 4: Simplify right side
    66,469.50x = 20,395,267,344
  5. Step 5: Solve for x
    x = 20,395,267,344/66,469.50
  6. Step 6: Final answer
    x = 306,836.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.