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Finding the Third Proportional to 59 and 140.75

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Solution

The third proportional to 59 and 140.75 is: 335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59 : 140.75 = 140.75 : x
  2. Step 2: Convert to fraction form
    59/140.75 = 140.75/x
  3. Step 3: Cross multiply
    59x = 140.75 × 140.75
  4. Step 4: Simplify right side
    59x = 19,810.56
  5. Step 5: Solve for x
    x = 19,810.56/59
  6. Step 6: Final answer
    x = 335.77

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.