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Finding the Third Proportional to 109,241 and 149,503

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Solution

The third proportional to 109,241 and 149,503 is: 204,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,241 : 149,503 = 149,503 : x
  2. Step 2: Convert to fraction form
    109,241/149,503 = 149,503/x
  3. Step 3: Cross multiply
    109,241x = 149,503 × 149,503
  4. Step 4: Simplify right side
    109,241x = 22,351,147,009
  5. Step 5: Solve for x
    x = 22,351,147,009/109,241
  6. Step 6: Final answer
    x = 204,604.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.