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Finding the Third Proportional to 59.47 and 126.81

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Solution

The third proportional to 59.47 and 126.81 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.47 : 126.81 = 126.81 : x
  2. Step 2: Convert to fraction form
    59.47/126.81 = 126.81/x
  3. Step 3: Cross multiply
    59.47x = 126.81 × 126.81
  4. Step 4: Simplify right side
    59.47x = 16,081.41
  5. Step 5: Solve for x
    x = 16,081.41/59.47
  6. Step 6: Final answer
    x = 270.42

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.