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Finding the Third Proportional to 89,961 and 131,484

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Solution

The third proportional to 89,961 and 131,484 is: 192,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,961 : 131,484 = 131,484 : x
  2. Step 2: Convert to fraction form
    89,961/131,484 = 131,484/x
  3. Step 3: Cross multiply
    89,961x = 131,484 × 131,484
  4. Step 4: Simplify right side
    89,961x = 17,288,042,256
  5. Step 5: Solve for x
    x = 17,288,042,256/89,961
  6. Step 6: Final answer
    x = 192,172.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.