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Finding the Third Proportional to 101.75 and 148.81

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Solution

The third proportional to 101.75 and 148.81 is: 217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 148.81 = 148.81 : x
  2. Step 2: Convert to fraction form
    101.75/148.81 = 148.81/x
  3. Step 3: Cross multiply
    101.75x = 148.81 × 148.81
  4. Step 4: Simplify right side
    101.75x = 22,145.16
  5. Step 5: Solve for x
    x = 22,145.16/101.75
  6. Step 6: Final answer
    x = 217.64

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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.