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Finding the Third Proportional to 75,299 and 100,384

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Solution

The third proportional to 75,299 and 100,384 is: 133,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,299 : 100,384 = 100,384 : x
  2. Step 2: Convert to fraction form
    75,299/100,384 = 100,384/x
  3. Step 3: Cross multiply
    75,299x = 100,384 × 100,384
  4. Step 4: Simplify right side
    75,299x = 10,076,947,456
  5. Step 5: Solve for x
    x = 10,076,947,456/75,299
  6. Step 6: Final answer
    x = 133,825.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.