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Finding the Third Proportional to 100.62 and 140.48

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Solution

The third proportional to 100.62 and 140.48 is: 196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.62 : 140.48 = 140.48 : x
  2. Step 2: Convert to fraction form
    100.62/140.48 = 140.48/x
  3. Step 3: Cross multiply
    100.62x = 140.48 × 140.48
  4. Step 4: Simplify right side
    100.62x = 19,735.86
  5. Step 5: Solve for x
    x = 19,735.86/100.62
  6. Step 6: Final answer
    x = 196.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.