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Finding the Third Proportional to 65.19 and 103.22

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Solution

The third proportional to 65.19 and 103.22 is: 163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.19 : 103.22 = 103.22 : x
  2. Step 2: Convert to fraction form
    65.19/103.22 = 103.22/x
  3. Step 3: Cross multiply
    65.19x = 103.22 × 103.22
  4. Step 4: Simplify right side
    65.19x = 10,654.11
  5. Step 5: Solve for x
    x = 10,654.11/65.19
  6. Step 6: Final answer
    x = 163.44

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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.