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Finding the Third Proportional to 63.94 and 102.03

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Solution

The third proportional to 63.94 and 102.03 is: 162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.94 : 102.03 = 102.03 : x
  2. Step 2: Convert to fraction form
    63.94/102.03 = 102.03/x
  3. Step 3: Cross multiply
    63.94x = 102.03 × 102.03
  4. Step 4: Simplify right side
    63.94x = 10,410.38
  5. Step 5: Solve for x
    x = 10,410.38/63.94
  6. Step 6: Final answer
    x = 162.82

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.