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Finding the Third Proportional to 106.38 and 162.63

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Solution

The third proportional to 106.38 and 162.63 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 162.63 = 162.63 : x
  2. Step 2: Convert to fraction form
    106.38/162.63 = 162.63/x
  3. Step 3: Cross multiply
    106.38x = 162.63 × 162.63
  4. Step 4: Simplify right side
    106.38x = 26,446.89
  5. Step 5: Solve for x
    x = 26,446.89/106.38
  6. Step 6: Final answer
    x = 248.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.