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Finding the Third Proportional to 66,022 and 142,564

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Solution

The third proportional to 66,022 and 142,564 is: 307,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,022 : 142,564 = 142,564 : x
  2. Step 2: Convert to fraction form
    66,022/142,564 = 142,564/x
  3. Step 3: Cross multiply
    66,022x = 142,564 × 142,564
  4. Step 4: Simplify right side
    66,022x = 20,324,494,096
  5. Step 5: Solve for x
    x = 20,324,494,096/66,022
  6. Step 6: Final answer
    x = 307,844.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.