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Finding the Third Proportional to 89,184 and 118,891.50

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Solution

The third proportional to 89,184 and 118,891.50 is: 158,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,184 : 118,891.50 = 118,891.50 : x
  2. Step 2: Convert to fraction form
    89,184/118,891.50 = 118,891.50/x
  3. Step 3: Cross multiply
    89,184x = 118,891.50 × 118,891.50
  4. Step 4: Simplify right side
    89,184x = 14,135,188,772.25
  5. Step 5: Solve for x
    x = 14,135,188,772.25/89,184
  6. Step 6: Final answer
    x = 158,494.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.