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Finding the Third Proportional to 89,093 and 133,203

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Solution

The third proportional to 89,093 and 133,203 is: 199,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,093 : 133,203 = 133,203 : x
  2. Step 2: Convert to fraction form
    89,093/133,203 = 133,203/x
  3. Step 3: Cross multiply
    89,093x = 133,203 × 133,203
  4. Step 4: Simplify right side
    89,093x = 17,743,039,209
  5. Step 5: Solve for x
    x = 17,743,039,209/89,093
  6. Step 6: Final answer
    x = 199,151.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.