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Finding the Third Proportional to 104,022 and 152,325

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Solution

The third proportional to 104,022 and 152,325 is: 223,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 152,325 = 152,325 : x
  2. Step 2: Convert to fraction form
    104,022/152,325 = 152,325/x
  3. Step 3: Cross multiply
    104,022x = 152,325 × 152,325
  4. Step 4: Simplify right side
    104,022x = 23,202,905,625
  5. Step 5: Solve for x
    x = 23,202,905,625/104,022
  6. Step 6: Final answer
    x = 223,057.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.