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Finding the Third Proportional to 94,189 and 132,005

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Solution

The third proportional to 94,189 and 132,005 is: 185,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,189 : 132,005 = 132,005 : x
  2. Step 2: Convert to fraction form
    94,189/132,005 = 132,005/x
  3. Step 3: Cross multiply
    94,189x = 132,005 × 132,005
  4. Step 4: Simplify right side
    94,189x = 17,425,320,025
  5. Step 5: Solve for x
    x = 17,425,320,025/94,189
  6. Step 6: Final answer
    x = 185,003.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.