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Finding the Third Proportional to 52,743.25 and 113,731.75

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Solution

The third proportional to 52,743.25 and 113,731.75 is: 245,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743.25 : 113,731.75 = 113,731.75 : x
  2. Step 2: Convert to fraction form
    52,743.25/113,731.75 = 113,731.75/x
  3. Step 3: Cross multiply
    52,743.25x = 113,731.75 × 113,731.75
  4. Step 4: Simplify right side
    52,743.25x = 12,934,910,958.06
  5. Step 5: Solve for x
    x = 12,934,910,958.06/52,743.25
  6. Step 6: Final answer
    x = 245,242.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.