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Finding the Third Proportional to 63.94 and 141.88

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Solution

The third proportional to 63.94 and 141.88 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.94 : 141.88 = 141.88 : x
  2. Step 2: Convert to fraction form
    63.94/141.88 = 141.88/x
  3. Step 3: Cross multiply
    63.94x = 141.88 × 141.88
  4. Step 4: Simplify right side
    63.94x = 20,128.52
  5. Step 5: Solve for x
    x = 20,128.52/63.94
  6. Step 6: Final answer
    x = 314.82

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.