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Finding the Third Proportional to 89,158.50 and 185,789.25

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Solution

The third proportional to 89,158.50 and 185,789.25 is: 387,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,158.50 : 185,789.25 = 185,789.25 : x
  2. Step 2: Convert to fraction form
    89,158.50/185,789.25 = 185,789.25/x
  3. Step 3: Cross multiply
    89,158.50x = 185,789.25 × 185,789.25
  4. Step 4: Simplify right side
    89,158.50x = 34,517,645,415.56
  5. Step 5: Solve for x
    x = 34,517,645,415.56/89,158.50
  6. Step 6: Final answer
    x = 387,149.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.