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Finding the Third Proportional to 52.44 and 114.62

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Solution

The third proportional to 52.44 and 114.62 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.44 : 114.62 = 114.62 : x
  2. Step 2: Convert to fraction form
    52.44/114.62 = 114.62/x
  3. Step 3: Cross multiply
    52.44x = 114.62 × 114.62
  4. Step 4: Simplify right side
    52.44x = 13,138.00
  5. Step 5: Solve for x
    x = 13,138.00/52.44
  6. Step 6: Final answer
    x = 250.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.