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Finding the Third Proportional to 133,093 and 202,180

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Solution

The third proportional to 133,093 and 202,180 is: 307,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,093 : 202,180 = 202,180 : x
  2. Step 2: Convert to fraction form
    133,093/202,180 = 202,180/x
  3. Step 3: Cross multiply
    133,093x = 202,180 × 202,180
  4. Step 4: Simplify right side
    133,093x = 40,876,752,400
  5. Step 5: Solve for x
    x = 40,876,752,400/133,093
  6. Step 6: Final answer
    x = 307,129.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.