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Finding the Third Proportional to 49,299 and 107,405

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Solution

The third proportional to 49,299 and 107,405 is: 233,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,299 : 107,405 = 107,405 : x
  2. Step 2: Convert to fraction form
    49,299/107,405 = 107,405/x
  3. Step 3: Cross multiply
    49,299x = 107,405 × 107,405
  4. Step 4: Simplify right side
    49,299x = 11,535,834,025
  5. Step 5: Solve for x
    x = 11,535,834,025/49,299
  6. Step 6: Final answer
    x = 233,997.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.