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Finding the Third Proportional to 53.94 and 116.31

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Solution

The third proportional to 53.94 and 116.31 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.94 : 116.31 = 116.31 : x
  2. Step 2: Convert to fraction form
    53.94/116.31 = 116.31/x
  3. Step 3: Cross multiply
    53.94x = 116.31 × 116.31
  4. Step 4: Simplify right side
    53.94x = 13,528.60
  5. Step 5: Solve for x
    x = 13,528.60/53.94
  6. Step 6: Final answer
    x = 250.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.