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Finding the Third Proportional to 48.94 and 104.06

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Solution

The third proportional to 48.94 and 104.06 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.94 : 104.06 = 104.06 : x
  2. Step 2: Convert to fraction form
    48.94/104.06 = 104.06/x
  3. Step 3: Cross multiply
    48.94x = 104.06 × 104.06
  4. Step 4: Simplify right side
    48.94x = 10,829.00
  5. Step 5: Solve for x
    x = 10,829.00/48.94
  6. Step 6: Final answer
    x = 221.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.