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Finding the Third Proportional to 65.50 and 103.62

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Solution

The third proportional to 65.50 and 103.62 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 103.62 = 103.62 : x
  2. Step 2: Convert to fraction form
    65.50/103.62 = 103.62/x
  3. Step 3: Cross multiply
    65.50x = 103.62 × 103.62
  4. Step 4: Simplify right side
    65.50x = 10,737.74
  5. Step 5: Solve for x
    x = 10,737.74/65.50
  6. Step 6: Final answer
    x = 163.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.