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Finding the Third Proportional to 49,955.25 and 104,529

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Solution

The third proportional to 49,955.25 and 104,529 is: 218,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,955.25 : 104,529 = 104,529 : x
  2. Step 2: Convert to fraction form
    49,955.25/104,529 = 104,529/x
  3. Step 3: Cross multiply
    49,955.25x = 104,529 × 104,529
  4. Step 4: Simplify right side
    49,955.25x = 10,926,311,841
  5. Step 5: Solve for x
    x = 10,926,311,841/49,955.25
  6. Step 6: Final answer
    x = 218,721.99

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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.