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Finding the Third Proportional to 64.27 and 135.98

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Solution

The third proportional to 64.27 and 135.98 is: 287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.27 : 135.98 = 135.98 : x
  2. Step 2: Convert to fraction form
    64.27/135.98 = 135.98/x
  3. Step 3: Cross multiply
    64.27x = 135.98 × 135.98
  4. Step 4: Simplify right side
    64.27x = 18,491.75
  5. Step 5: Solve for x
    x = 18,491.75/64.27
  6. Step 6: Final answer
    x = 287.74

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.