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Finding the Third Proportional to 49,131 and 73,944

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Solution

The third proportional to 49,131 and 73,944 is: 111,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131 : 73,944 = 73,944 : x
  2. Step 2: Convert to fraction form
    49,131/73,944 = 73,944/x
  3. Step 3: Cross multiply
    49,131x = 73,944 × 73,944
  4. Step 4: Simplify right side
    49,131x = 5,467,715,136
  5. Step 5: Solve for x
    x = 5,467,715,136/49,131
  6. Step 6: Final answer
    x = 111,288.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.