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Finding the Third Proportional to 87,733.41 and 179,623.13

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Solution

The third proportional to 87,733.41 and 179,623.13 is: 367,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,733.41 : 179,623.13 = 179,623.13 : x
  2. Step 2: Convert to fraction form
    87,733.41/179,623.13 = 179,623.13/x
  3. Step 3: Cross multiply
    87,733.41x = 179,623.13 × 179,623.13
  4. Step 4: Simplify right side
    87,733.41x = 32,264,467,034.77
  5. Step 5: Solve for x
    x = 32,264,467,034.77/87,733.41
  6. Step 6: Final answer
    x = 367,755.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.