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Finding the Third Proportional to 49,764 and 104,136

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Solution

The third proportional to 49,764 and 104,136 is: 217,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764 : 104,136 = 104,136 : x
  2. Step 2: Convert to fraction form
    49,764/104,136 = 104,136/x
  3. Step 3: Cross multiply
    49,764x = 104,136 × 104,136
  4. Step 4: Simplify right side
    49,764x = 10,844,306,496
  5. Step 5: Solve for x
    x = 10,844,306,496/49,764
  6. Step 6: Final answer
    x = 217,914.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.