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Finding the Third Proportional to 79,382.75 and 171,229.13

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Solution

The third proportional to 79,382.75 and 171,229.13 is: 369,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,382.75 : 171,229.13 = 171,229.13 : x
  2. Step 2: Convert to fraction form
    79,382.75/171,229.13 = 171,229.13/x
  3. Step 3: Cross multiply
    79,382.75x = 171,229.13 × 171,229.13
  4. Step 4: Simplify right side
    79,382.75x = 29,319,413,248.27
  5. Step 5: Solve for x
    x = 29,319,413,248.27/79,382.75
  6. Step 6: Final answer
    x = 369,342.37

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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.