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Finding the Third Proportional to 49,744 and 102,405

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Solution

The third proportional to 49,744 and 102,405 is: 210,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744 : 102,405 = 102,405 : x
  2. Step 2: Convert to fraction form
    49,744/102,405 = 102,405/x
  3. Step 3: Cross multiply
    49,744x = 102,405 × 102,405
  4. Step 4: Simplify right side
    49,744x = 10,486,784,025
  5. Step 5: Solve for x
    x = 10,486,784,025/49,744
  6. Step 6: Final answer
    x = 210,815.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.