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Finding the Third Proportional to 69.12 and 101.18

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Solution

The third proportional to 69.12 and 101.18 is: 148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 101.18 = 101.18 : x
  2. Step 2: Convert to fraction form
    69.12/101.18 = 101.18/x
  3. Step 3: Cross multiply
    69.12x = 101.18 × 101.18
  4. Step 4: Simplify right side
    69.12x = 10,237.33
  5. Step 5: Solve for x
    x = 10,237.33/69.12
  6. Step 6: Final answer
    x = 148.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.