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Finding the Third Proportional to 49,313 and 104,769

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Solution

The third proportional to 49,313 and 104,769 is: 222,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313 : 104,769 = 104,769 : x
  2. Step 2: Convert to fraction form
    49,313/104,769 = 104,769/x
  3. Step 3: Cross multiply
    49,313x = 104,769 × 104,769
  4. Step 4: Simplify right side
    49,313x = 10,976,543,361
  5. Step 5: Solve for x
    x = 10,976,543,361/49,313
  6. Step 6: Final answer
    x = 222,589.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.