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Finding the Third Proportional to 49,223 and 73,881

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Solution

The third proportional to 49,223 and 73,881 is: 110,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223 : 73,881 = 73,881 : x
  2. Step 2: Convert to fraction form
    49,223/73,881 = 73,881/x
  3. Step 3: Cross multiply
    49,223x = 73,881 × 73,881
  4. Step 4: Simplify right side
    49,223x = 5,458,402,161
  5. Step 5: Solve for x
    x = 5,458,402,161/49,223
  6. Step 6: Final answer
    x = 110,891.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.