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Finding the Third Proportional to 111,097 and 158,755

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Solution

The third proportional to 111,097 and 158,755 is: 226,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,097 : 158,755 = 158,755 : x
  2. Step 2: Convert to fraction form
    111,097/158,755 = 158,755/x
  3. Step 3: Cross multiply
    111,097x = 158,755 × 158,755
  4. Step 4: Simplify right side
    111,097x = 25,203,150,025
  5. Step 5: Solve for x
    x = 25,203,150,025/111,097
  6. Step 6: Final answer
    x = 226,857.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.