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Finding the Third Proportional to 89,772 and 132,923

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Solution

The third proportional to 89,772 and 132,923 is: 196,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,772 : 132,923 = 132,923 : x
  2. Step 2: Convert to fraction form
    89,772/132,923 = 132,923/x
  3. Step 3: Cross multiply
    89,772x = 132,923 × 132,923
  4. Step 4: Simplify right side
    89,772x = 17,668,523,929
  5. Step 5: Solve for x
    x = 17,668,523,929/89,772
  6. Step 6: Final answer
    x = 196,815.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.