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Finding the Third Proportional to 89,296 and 131,256

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Solution

The third proportional to 89,296 and 131,256 is: 192,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,296 : 131,256 = 131,256 : x
  2. Step 2: Convert to fraction form
    89,296/131,256 = 131,256/x
  3. Step 3: Cross multiply
    89,296x = 131,256 × 131,256
  4. Step 4: Simplify right side
    89,296x = 17,228,137,536
  5. Step 5: Solve for x
    x = 17,228,137,536/89,296
  6. Step 6: Final answer
    x = 192,932.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.