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Finding the Third Proportional to 53.93 and 117.49

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Solution

The third proportional to 53.93 and 117.49 is: 255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.93 : 117.49 = 117.49 : x
  2. Step 2: Convert to fraction form
    53.93/117.49 = 117.49/x
  3. Step 3: Cross multiply
    53.93x = 117.49 × 117.49
  4. Step 4: Simplify right side
    53.93x = 13,804.41
  5. Step 5: Solve for x
    x = 13,804.41/53.93
  6. Step 6: Final answer
    x = 255.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.