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Finding the Third Proportional to 87,758.44 and 132,256.97

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Solution

The third proportional to 87,758.44 and 132,256.97 is: 199,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,758.44 : 132,256.97 = 132,256.97 : x
  2. Step 2: Convert to fraction form
    87,758.44/132,256.97 = 132,256.97/x
  3. Step 3: Cross multiply
    87,758.44x = 132,256.97 × 132,256.97
  4. Step 4: Simplify right side
    87,758.44x = 17,491,905,782.94
  5. Step 5: Solve for x
    x = 17,491,905,782.94/87,758.44
  6. Step 6: Final answer
    x = 199,318.79

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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.