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Finding the Third Proportional to 109,016 and 146,504

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Solution

The third proportional to 109,016 and 146,504 is: 196,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,016 : 146,504 = 146,504 : x
  2. Step 2: Convert to fraction form
    109,016/146,504 = 146,504/x
  3. Step 3: Cross multiply
    109,016x = 146,504 × 146,504
  4. Step 4: Simplify right side
    109,016x = 21,463,422,016
  5. Step 5: Solve for x
    x = 21,463,422,016/109,016
  6. Step 6: Final answer
    x = 196,883.23

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.