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Finding the Third Proportional to 59.44 and 127.76

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Solution

The third proportional to 59.44 and 127.76 is: 274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.44 : 127.76 = 127.76 : x
  2. Step 2: Convert to fraction form
    59.44/127.76 = 127.76/x
  3. Step 3: Cross multiply
    59.44x = 127.76 × 127.76
  4. Step 4: Simplify right side
    59.44x = 16,322.06
  5. Step 5: Solve for x
    x = 16,322.06/59.44
  6. Step 6: Final answer
    x = 274.61

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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.