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Finding the Third Proportional to 72,571.78 and 109,951.17

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Solution

The third proportional to 72,571.78 and 109,951.17 is: 166,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,571.78 : 109,951.17 = 109,951.17 : x
  2. Step 2: Convert to fraction form
    72,571.78/109,951.17 = 109,951.17/x
  3. Step 3: Cross multiply
    72,571.78x = 109,951.17 × 109,951.17
  4. Step 4: Simplify right side
    72,571.78x = 12,089,260,196.69
  5. Step 5: Solve for x
    x = 12,089,260,196.69/72,571.78
  6. Step 6: Final answer
    x = 166,583.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.