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Finding the Third Proportional to 53.06 and 115.73

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Solution

The third proportional to 53.06 and 115.73 is: 252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 115.73 = 115.73 : x
  2. Step 2: Convert to fraction form
    53.06/115.73 = 115.73/x
  3. Step 3: Cross multiply
    53.06x = 115.73 × 115.73
  4. Step 4: Simplify right side
    53.06x = 13,393.56
  5. Step 5: Solve for x
    x = 13,393.56/53.06
  6. Step 6: Final answer
    x = 252.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.