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Finding the Third Proportional to 54.06 and 83.94

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Solution

The third proportional to 54.06 and 83.94 is: 130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.06 : 83.94 = 83.94 : x
  2. Step 2: Convert to fraction form
    54.06/83.94 = 83.94/x
  3. Step 3: Cross multiply
    54.06x = 83.94 × 83.94
  4. Step 4: Simplify right side
    54.06x = 7,045.50
  5. Step 5: Solve for x
    x = 7,045.50/54.06
  6. Step 6: Final answer
    x = 130.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.