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Finding the Third Proportional to 127,772.44 and 268,768.13

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Solution

The third proportional to 127,772.44 and 268,768.13 is: 565,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,772.44 : 268,768.13 = 268,768.13 : x
  2. Step 2: Convert to fraction form
    127,772.44/268,768.13 = 268,768.13/x
  3. Step 3: Cross multiply
    127,772.44x = 268,768.13 × 268,768.13
  4. Step 4: Simplify right side
    127,772.44x = 72,236,305,016.02
  5. Step 5: Solve for x
    x = 72,236,305,016.02/127,772.44
  6. Step 6: Final answer
    x = 565,351.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.