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Finding the Third Proportional to 81,418.06 and 176,761.94

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Solution

The third proportional to 81,418.06 and 176,761.94 is: 383,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418.06 : 176,761.94 = 176,761.94 : x
  2. Step 2: Convert to fraction form
    81,418.06/176,761.94 = 176,761.94/x
  3. Step 3: Cross multiply
    81,418.06x = 176,761.94 × 176,761.94
  4. Step 4: Simplify right side
    81,418.06x = 31,244,782,548.75
  5. Step 5: Solve for x
    x = 31,244,782,548.75/81,418.06
  6. Step 6: Final answer
    x = 383,757.38

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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.