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Finding the Third Proportional to 49,424 and 107,264

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Solution

The third proportional to 49,424 and 107,264 is: 232,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424 : 107,264 = 107,264 : x
  2. Step 2: Convert to fraction form
    49,424/107,264 = 107,264/x
  3. Step 3: Cross multiply
    49,424x = 107,264 × 107,264
  4. Step 4: Simplify right side
    49,424x = 11,505,565,696
  5. Step 5: Solve for x
    x = 11,505,565,696/49,424
  6. Step 6: Final answer
    x = 232,793.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.