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Finding the Third Proportional to 60.75 and 145.97

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Solution

The third proportional to 60.75 and 145.97 is: 350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 145.97 = 145.97 : x
  2. Step 2: Convert to fraction form
    60.75/145.97 = 145.97/x
  3. Step 3: Cross multiply
    60.75x = 145.97 × 145.97
  4. Step 4: Simplify right side
    60.75x = 21,306.88
  5. Step 5: Solve for x
    x = 21,306.88/60.75
  6. Step 6: Final answer
    x = 350.73

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.