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Finding the Third Proportional to 81,333.75 and 176,238.75

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Solution

The third proportional to 81,333.75 and 176,238.75 is: 381,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,333.75 : 176,238.75 = 176,238.75 : x
  2. Step 2: Convert to fraction form
    81,333.75/176,238.75 = 176,238.75/x
  3. Step 3: Cross multiply
    81,333.75x = 176,238.75 × 176,238.75
  4. Step 4: Simplify right side
    81,333.75x = 31,060,097,001.56
  5. Step 5: Solve for x
    x = 31,060,097,001.56/81,333.75
  6. Step 6: Final answer
    x = 381,884.48

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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.