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Finding the Third Proportional to 89,394 and 131,622

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Solution

The third proportional to 89,394 and 131,622 is: 193,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,394 : 131,622 = 131,622 : x
  2. Step 2: Convert to fraction form
    89,394/131,622 = 131,622/x
  3. Step 3: Cross multiply
    89,394x = 131,622 × 131,622
  4. Step 4: Simplify right side
    89,394x = 17,324,350,884
  5. Step 5: Solve for x
    x = 17,324,350,884/89,394
  6. Step 6: Final answer
    x = 193,797.69

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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.