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Finding the Third Proportional to 100.41 and 116.30

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Solution

The third proportional to 100.41 and 116.30 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.41 : 116.30 = 116.30 : x
  2. Step 2: Convert to fraction form
    100.41/116.30 = 116.30/x
  3. Step 3: Cross multiply
    100.41x = 116.30 × 116.30
  4. Step 4: Simplify right side
    100.41x = 13,524.96
  5. Step 5: Solve for x
    x = 13,524.96/100.41
  6. Step 6: Final answer
    x = 134.70

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.