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Finding the Third Proportional to 103,682 and 154,809

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Solution

The third proportional to 103,682 and 154,809 is: 231,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 154,809 = 154,809 : x
  2. Step 2: Convert to fraction form
    103,682/154,809 = 154,809/x
  3. Step 3: Cross multiply
    103,682x = 154,809 × 154,809
  4. Step 4: Simplify right side
    103,682x = 23,965,826,481
  5. Step 5: Solve for x
    x = 23,965,826,481/103,682
  6. Step 6: Final answer
    x = 231,147.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.