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Finding the Third Proportional to 49,256 and 107,424

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Solution

The third proportional to 49,256 and 107,424 is: 234,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,256 : 107,424 = 107,424 : x
  2. Step 2: Convert to fraction form
    49,256/107,424 = 107,424/x
  3. Step 3: Cross multiply
    49,256x = 107,424 × 107,424
  4. Step 4: Simplify right side
    49,256x = 11,539,915,776
  5. Step 5: Solve for x
    x = 11,539,915,776/49,256
  6. Step 6: Final answer
    x = 234,284.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.