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Finding the Third Proportional to 79,524 and 171,503

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Solution

The third proportional to 79,524 and 171,503 is: 369,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,524 : 171,503 = 171,503 : x
  2. Step 2: Convert to fraction form
    79,524/171,503 = 171,503/x
  3. Step 3: Cross multiply
    79,524x = 171,503 × 171,503
  4. Step 4: Simplify right side
    79,524x = 29,413,279,009
  5. Step 5: Solve for x
    x = 29,413,279,009/79,524
  6. Step 6: Final answer
    x = 369,866.69

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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.