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Finding the Third Proportional to 48.75 and 103.31

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Solution

The third proportional to 48.75 and 103.31 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 103.31 = 103.31 : x
  2. Step 2: Convert to fraction form
    48.75/103.31 = 103.31/x
  3. Step 3: Cross multiply
    48.75x = 103.31 × 103.31
  4. Step 4: Simplify right side
    48.75x = 10,673.47
  5. Step 5: Solve for x
    x = 10,673.47/48.75
  6. Step 6: Final answer
    x = 218.94

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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.