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Finding the Third Proportional to 50,225 and 73,696

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Solution

The third proportional to 50,225 and 73,696 is: 108,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,225 : 73,696 = 73,696 : x
  2. Step 2: Convert to fraction form
    50,225/73,696 = 73,696/x
  3. Step 3: Cross multiply
    50,225x = 73,696 × 73,696
  4. Step 4: Simplify right side
    50,225x = 5,431,100,416
  5. Step 5: Solve for x
    x = 5,431,100,416/50,225
  6. Step 6: Final answer
    x = 108,135.40

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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.