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Finding the Third Proportional to 115.31 and 173.81

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Solution

The third proportional to 115.31 and 173.81 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.31 : 173.81 = 173.81 : x
  2. Step 2: Convert to fraction form
    115.31/173.81 = 173.81/x
  3. Step 3: Cross multiply
    115.31x = 173.81 × 173.81
  4. Step 4: Simplify right side
    115.31x = 30,210.79
  5. Step 5: Solve for x
    x = 30,210.79/115.31
  6. Step 6: Final answer
    x = 261.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.