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Finding the Third Proportional to 110,967 and 171,629.25

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Solution

The third proportional to 110,967 and 171,629.25 is: 265,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,967 : 171,629.25 = 171,629.25 : x
  2. Step 2: Convert to fraction form
    110,967/171,629.25 = 171,629.25/x
  3. Step 3: Cross multiply
    110,967x = 171,629.25 × 171,629.25
  4. Step 4: Simplify right side
    110,967x = 29,456,599,455.56
  5. Step 5: Solve for x
    x = 29,456,599,455.56/110,967
  6. Step 6: Final answer
    x = 265,453.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.