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Finding the Third Proportional to 49,049 and 106,634

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Solution

The third proportional to 49,049 and 106,634 is: 231,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,049 : 106,634 = 106,634 : x
  2. Step 2: Convert to fraction form
    49,049/106,634 = 106,634/x
  3. Step 3: Cross multiply
    49,049x = 106,634 × 106,634
  4. Step 4: Simplify right side
    49,049x = 11,370,809,956
  5. Step 5: Solve for x
    x = 11,370,809,956/49,049
  6. Step 6: Final answer
    x = 231,825.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.