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Finding the Third Proportional to 76,288.50 and 166,133.25

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Solution

The third proportional to 76,288.50 and 166,133.25 is: 361,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,288.50 : 166,133.25 = 166,133.25 : x
  2. Step 2: Convert to fraction form
    76,288.50/166,133.25 = 166,133.25/x
  3. Step 3: Cross multiply
    76,288.50x = 166,133.25 × 166,133.25
  4. Step 4: Simplify right side
    76,288.50x = 27,600,256,755.56
  5. Step 5: Solve for x
    x = 27,600,256,755.56/76,288.50
  6. Step 6: Final answer
    x = 361,787.91

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