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Finding the Third Proportional to 89,942 and 131,997

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Solution

The third proportional to 89,942 and 131,997 is: 193,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,942 : 131,997 = 131,997 : x
  2. Step 2: Convert to fraction form
    89,942/131,997 = 131,997/x
  3. Step 3: Cross multiply
    89,942x = 131,997 × 131,997
  4. Step 4: Simplify right side
    89,942x = 17,423,208,009
  5. Step 5: Solve for x
    x = 17,423,208,009/89,942
  6. Step 6: Final answer
    x = 193,716.04

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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.