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Finding the Third Proportional to 89,964 and 132,027

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Solution

The third proportional to 89,964 and 132,027 is: 193,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,964 : 132,027 = 132,027 : x
  2. Step 2: Convert to fraction form
    89,964/132,027 = 132,027/x
  3. Step 3: Cross multiply
    89,964x = 132,027 × 132,027
  4. Step 4: Simplify right side
    89,964x = 17,431,128,729
  5. Step 5: Solve for x
    x = 17,431,128,729/89,964
  6. Step 6: Final answer
    x = 193,756.71

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Why These Related Problems?

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