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Finding the Third Proportional to 104,022 and 154,089

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Solution

The third proportional to 104,022 and 154,089 is: 228,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 154,089 = 154,089 : x
  2. Step 2: Convert to fraction form
    104,022/154,089 = 154,089/x
  3. Step 3: Cross multiply
    104,022x = 154,089 × 154,089
  4. Step 4: Simplify right side
    104,022x = 23,743,419,921
  5. Step 5: Solve for x
    x = 23,743,419,921/104,022
  6. Step 6: Final answer
    x = 228,253.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.