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Finding the Third Proportional to 137,087.44 and 204,489.56

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Solution

The third proportional to 137,087.44 and 204,489.56 is: 305,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,087.44 : 204,489.56 = 204,489.56 : x
  2. Step 2: Convert to fraction form
    137,087.44/204,489.56 = 204,489.56/x
  3. Step 3: Cross multiply
    137,087.44x = 204,489.56 × 204,489.56
  4. Step 4: Simplify right side
    137,087.44x = 41,815,981,171.44
  5. Step 5: Solve for x
    x = 41,815,981,171.44/137,087.44
  6. Step 6: Final answer
    x = 305,031.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.