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Finding the Third Proportional to 52.94 and 114.88

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Solution

The third proportional to 52.94 and 114.88 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.94 : 114.88 = 114.88 : x
  2. Step 2: Convert to fraction form
    52.94/114.88 = 114.88/x
  3. Step 3: Cross multiply
    52.94x = 114.88 × 114.88
  4. Step 4: Simplify right side
    52.94x = 13,196.27
  5. Step 5: Solve for x
    x = 13,196.27/52.94
  6. Step 6: Final answer
    x = 249.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.