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Finding the Third Proportional to 49,838 and 107,502

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Solution

The third proportional to 49,838 and 107,502 is: 231,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838 : 107,502 = 107,502 : x
  2. Step 2: Convert to fraction form
    49,838/107,502 = 107,502/x
  3. Step 3: Cross multiply
    49,838x = 107,502 × 107,502
  4. Step 4: Simplify right side
    49,838x = 11,556,680,004
  5. Step 5: Solve for x
    x = 11,556,680,004/49,838
  6. Step 6: Final answer
    x = 231,884.91

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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.