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Finding the Third Proportional to 110,961 and 158,673

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Solution

The third proportional to 110,961 and 158,673 is: 226,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,961 : 158,673 = 158,673 : x
  2. Step 2: Convert to fraction form
    110,961/158,673 = 158,673/x
  3. Step 3: Cross multiply
    110,961x = 158,673 × 158,673
  4. Step 4: Simplify right side
    110,961x = 25,177,120,929
  5. Step 5: Solve for x
    x = 25,177,120,929/110,961
  6. Step 6: Final answer
    x = 226,900.63

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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.