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Finding the Third Proportional to 133,041 and 200,942

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Solution

The third proportional to 133,041 and 200,942 is: 303,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 200,942 = 200,942 : x
  2. Step 2: Convert to fraction form
    133,041/200,942 = 200,942/x
  3. Step 3: Cross multiply
    133,041x = 200,942 × 200,942
  4. Step 4: Simplify right side
    133,041x = 40,377,687,364
  5. Step 5: Solve for x
    x = 40,377,687,364/133,041
  6. Step 6: Final answer
    x = 303,498.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.