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Finding the Third Proportional to 111,049 and 158,268

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Solution

The third proportional to 111,049 and 158,268 is: 225,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,049 : 158,268 = 158,268 : x
  2. Step 2: Convert to fraction form
    111,049/158,268 = 158,268/x
  3. Step 3: Cross multiply
    111,049x = 158,268 × 158,268
  4. Step 4: Simplify right side
    111,049x = 25,048,759,824
  5. Step 5: Solve for x
    x = 25,048,759,824/111,049
  6. Step 6: Final answer
    x = 225,564.93

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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.