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Finding the Third Proportional to 59.06 and 126.75

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Solution

The third proportional to 59.06 and 126.75 is: 272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 126.75 = 126.75 : x
  2. Step 2: Convert to fraction form
    59.06/126.75 = 126.75/x
  3. Step 3: Cross multiply
    59.06x = 126.75 × 126.75
  4. Step 4: Simplify right side
    59.06x = 16,065.56
  5. Step 5: Solve for x
    x = 16,065.56/59.06
  6. Step 6: Final answer
    x = 272.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.