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Finding the Third Proportional to 89,761.50 and 191,187

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Solution

The third proportional to 89,761.50 and 191,187 is: 407,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,761.50 : 191,187 = 191,187 : x
  2. Step 2: Convert to fraction form
    89,761.50/191,187 = 191,187/x
  3. Step 3: Cross multiply
    89,761.50x = 191,187 × 191,187
  4. Step 4: Simplify right side
    89,761.50x = 36,552,468,969
  5. Step 5: Solve for x
    x = 36,552,468,969/89,761.50
  6. Step 6: Final answer
    x = 407,217.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.