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Finding the Third Proportional to 89,372 and 132,843

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Solution

The third proportional to 89,372 and 132,843 is: 197,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,372 : 132,843 = 132,843 : x
  2. Step 2: Convert to fraction form
    89,372/132,843 = 132,843/x
  3. Step 3: Cross multiply
    89,372x = 132,843 × 132,843
  4. Step 4: Simplify right side
    89,372x = 17,647,262,649
  5. Step 5: Solve for x
    x = 17,647,262,649/89,372
  6. Step 6: Final answer
    x = 197,458.52

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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.