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Finding the Third Proportional to 133,138 and 201,093

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Solution

The third proportional to 133,138 and 201,093 is: 303,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,138 : 201,093 = 201,093 : x
  2. Step 2: Convert to fraction form
    133,138/201,093 = 201,093/x
  3. Step 3: Cross multiply
    133,138x = 201,093 × 201,093
  4. Step 4: Simplify right side
    133,138x = 40,438,394,649
  5. Step 5: Solve for x
    x = 40,438,394,649/133,138
  6. Step 6: Final answer
    x = 303,732.93

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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.