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Finding the Third Proportional to 36,319.50 and 78,183

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Solution

The third proportional to 36,319.50 and 78,183 is: 168,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,319.50 : 78,183 = 78,183 : x
  2. Step 2: Convert to fraction form
    36,319.50/78,183 = 78,183/x
  3. Step 3: Cross multiply
    36,319.50x = 78,183 × 78,183
  4. Step 4: Simplify right side
    36,319.50x = 6,112,581,489
  5. Step 5: Solve for x
    x = 6,112,581,489/36,319.50
  6. Step 6: Final answer
    x = 168,300.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.