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Finding the Third Proportional to 89,716 and 132,836

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Solution

The third proportional to 89,716 and 132,836 is: 196,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,716 : 132,836 = 132,836 : x
  2. Step 2: Convert to fraction form
    89,716/132,836 = 132,836/x
  3. Step 3: Cross multiply
    89,716x = 132,836 × 132,836
  4. Step 4: Simplify right side
    89,716x = 17,645,402,896
  5. Step 5: Solve for x
    x = 17,645,402,896/89,716
  6. Step 6: Final answer
    x = 196,680.67

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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.