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Finding the Third Proportional to 49,651 and 117,107

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Solution

The third proportional to 49,651 and 117,107 is: 276,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,651 : 117,107 = 117,107 : x
  2. Step 2: Convert to fraction form
    49,651/117,107 = 117,107/x
  3. Step 3: Cross multiply
    49,651x = 117,107 × 117,107
  4. Step 4: Simplify right side
    49,651x = 13,714,049,449
  5. Step 5: Solve for x
    x = 13,714,049,449/49,651
  6. Step 6: Final answer
    x = 276,208.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.