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Finding the Third Proportional to 114.94 and 131.88

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Solution

The third proportional to 114.94 and 131.88 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 131.88 = 131.88 : x
  2. Step 2: Convert to fraction form
    114.94/131.88 = 131.88/x
  3. Step 3: Cross multiply
    114.94x = 131.88 × 131.88
  4. Step 4: Simplify right side
    114.94x = 17,391.02
  5. Step 5: Solve for x
    x = 17,391.02/114.94
  6. Step 6: Final answer
    x = 151.31

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.