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Finding the Third Proportional to 81,027.75 and 176,580.75

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Solution

The third proportional to 81,027.75 and 176,580.75 is: 384,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,027.75 : 176,580.75 = 176,580.75 : x
  2. Step 2: Convert to fraction form
    81,027.75/176,580.75 = 176,580.75/x
  3. Step 3: Cross multiply
    81,027.75x = 176,580.75 × 176,580.75
  4. Step 4: Simplify right side
    81,027.75x = 31,180,761,270.56
  5. Step 5: Solve for x
    x = 31,180,761,270.56/81,027.75
  6. Step 6: Final answer
    x = 384,815.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.