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Finding the Third Proportional to 52.31 and 111.56

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Solution

The third proportional to 52.31 and 111.56 is: 237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 111.56 = 111.56 : x
  2. Step 2: Convert to fraction form
    52.31/111.56 = 111.56/x
  3. Step 3: Cross multiply
    52.31x = 111.56 × 111.56
  4. Step 4: Simplify right side
    52.31x = 12,446.19
  5. Step 5: Solve for x
    x = 12,446.19/52.31
  6. Step 6: Final answer
    x = 237.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.