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Finding the Third Proportional to 52,743.75 and 113,732.75

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Solution

The third proportional to 52,743.75 and 113,732.75 is: 245,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743.75 : 113,732.75 = 113,732.75 : x
  2. Step 2: Convert to fraction form
    52,743.75/113,732.75 = 113,732.75/x
  3. Step 3: Cross multiply
    52,743.75x = 113,732.75 × 113,732.75
  4. Step 4: Simplify right side
    52,743.75x = 12,935,138,422.56
  5. Step 5: Solve for x
    x = 12,935,138,422.56/52,743.75
  6. Step 6: Final answer
    x = 245,244.95

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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.