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Finding the Third Proportional to 49,129 and 105,268

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Solution

The third proportional to 49,129 and 105,268 is: 225,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,129 : 105,268 = 105,268 : x
  2. Step 2: Convert to fraction form
    49,129/105,268 = 105,268/x
  3. Step 3: Cross multiply
    49,129x = 105,268 × 105,268
  4. Step 4: Simplify right side
    49,129x = 11,081,351,824
  5. Step 5: Solve for x
    x = 11,081,351,824/49,129
  6. Step 6: Final answer
    x = 225,556.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.