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Finding the Third Proportional to 89,305.88 and 126,942.19

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Solution

The third proportional to 89,305.88 and 126,942.19 is: 180,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,305.88 : 126,942.19 = 126,942.19 : x
  2. Step 2: Convert to fraction form
    89,305.88/126,942.19 = 126,942.19/x
  3. Step 3: Cross multiply
    89,305.88x = 126,942.19 × 126,942.19
  4. Step 4: Simplify right side
    89,305.88x = 16,114,318,967.29
  5. Step 5: Solve for x
    x = 16,114,318,967.29/89,305.88
  6. Step 6: Final answer
    x = 180,439.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.