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Finding the Third Proportional to 60.75 and 101.81

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Solution

The third proportional to 60.75 and 101.81 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 101.81 = 101.81 : x
  2. Step 2: Convert to fraction form
    60.75/101.81 = 101.81/x
  3. Step 3: Cross multiply
    60.75x = 101.81 × 101.81
  4. Step 4: Simplify right side
    60.75x = 10,365.79
  5. Step 5: Solve for x
    x = 10,365.79/60.75
  6. Step 6: Final answer
    x = 170.63

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.