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Finding the Third Proportional to 52.94 and 113.75

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Solution

The third proportional to 52.94 and 113.75 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.94 : 113.75 = 113.75 : x
  2. Step 2: Convert to fraction form
    52.94/113.75 = 113.75/x
  3. Step 3: Cross multiply
    52.94x = 113.75 × 113.75
  4. Step 4: Simplify right side
    52.94x = 12,939.06
  5. Step 5: Solve for x
    x = 12,939.06/52.94
  6. Step 6: Final answer
    x = 244.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.