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Finding the Third Proportional to 111,571 and 156,054

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Solution

The third proportional to 111,571 and 156,054 is: 218,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,571 : 156,054 = 156,054 : x
  2. Step 2: Convert to fraction form
    111,571/156,054 = 156,054/x
  3. Step 3: Cross multiply
    111,571x = 156,054 × 156,054
  4. Step 4: Simplify right side
    111,571x = 24,352,850,916
  5. Step 5: Solve for x
    x = 24,352,850,916/111,571
  6. Step 6: Final answer
    x = 218,272.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.