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Finding the Third Proportional to 49,827 and 107,481

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Solution

The third proportional to 49,827 and 107,481 is: 231,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827 : 107,481 = 107,481 : x
  2. Step 2: Convert to fraction form
    49,827/107,481 = 107,481/x
  3. Step 3: Cross multiply
    49,827x = 107,481 × 107,481
  4. Step 4: Simplify right side
    49,827x = 11,552,165,361
  5. Step 5: Solve for x
    x = 11,552,165,361/49,827
  6. Step 6: Final answer
    x = 231,845.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.