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Finding the Third Proportional to 100.69 and 136.13

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Solution

The third proportional to 100.69 and 136.13 is: 184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 136.13 = 136.13 : x
  2. Step 2: Convert to fraction form
    100.69/136.13 = 136.13/x
  3. Step 3: Cross multiply
    100.69x = 136.13 × 136.13
  4. Step 4: Simplify right side
    100.69x = 18,530.02
  5. Step 5: Solve for x
    x = 18,530.02/100.69
  6. Step 6: Final answer
    x = 184.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.