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Finding the Third Proportional to 64.13 and 92.81

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Solution

The third proportional to 64.13 and 92.81 is: 134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 92.81 = 92.81 : x
  2. Step 2: Convert to fraction form
    64.13/92.81 = 92.81/x
  3. Step 3: Cross multiply
    64.13x = 92.81 × 92.81
  4. Step 4: Simplify right side
    64.13x = 8,614.16
  5. Step 5: Solve for x
    x = 8,614.16/64.13
  6. Step 6: Final answer
    x = 134.33

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.