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Finding the Third Proportional to 49,138 and 117,009

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Solution

The third proportional to 49,138 and 117,009 is: 278,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,138 : 117,009 = 117,009 : x
  2. Step 2: Convert to fraction form
    49,138/117,009 = 117,009/x
  3. Step 3: Cross multiply
    49,138x = 117,009 × 117,009
  4. Step 4: Simplify right side
    49,138x = 13,691,106,081
  5. Step 5: Solve for x
    x = 13,691,106,081/49,138
  6. Step 6: Final answer
    x = 278,625.63

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.