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Finding the Third Proportional to 52.31 and 115.03

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Solution

The third proportional to 52.31 and 115.03 is: 252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 115.03 = 115.03 : x
  2. Step 2: Convert to fraction form
    52.31/115.03 = 115.03/x
  3. Step 3: Cross multiply
    52.31x = 115.03 × 115.03
  4. Step 4: Simplify right side
    52.31x = 13,232.19
  5. Step 5: Solve for x
    x = 13,232.19/52.31
  6. Step 6: Final answer
    x = 252.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.