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Finding the Third Proportional to 49,906.50 and 73,396.13

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Solution

The third proportional to 49,906.50 and 73,396.13 is: 107,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.50 : 73,396.13 = 73,396.13 : x
  2. Step 2: Convert to fraction form
    49,906.50/73,396.13 = 73,396.13/x
  3. Step 3: Cross multiply
    49,906.50x = 73,396.13 × 73,396.13
  4. Step 4: Simplify right side
    49,906.50x = 5,386,991,165.02
  5. Step 5: Solve for x
    x = 5,386,991,165.02/49,906.50
  6. Step 6: Final answer
    x = 107,941.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.