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Finding the Third Proportional to 52,727.20 and 115,099.42

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Solution

The third proportional to 52,727.20 and 115,099.42 is: 251,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,727.20 : 115,099.42 = 115,099.42 : x
  2. Step 2: Convert to fraction form
    52,727.20/115,099.42 = 115,099.42/x
  3. Step 3: Cross multiply
    52,727.20x = 115,099.42 × 115,099.42
  4. Step 4: Simplify right side
    52,727.20x = 13,247,876,016.75
  5. Step 5: Solve for x
    x = 13,247,876,016.75/52,727.20
  6. Step 6: Final answer
    x = 251,253.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.