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Finding the Third Proportional to 48.73 and 106.00

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Solution

The third proportional to 48.73 and 106.00 is: 230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.73 : 106.00 = 106.00 : x
  2. Step 2: Convert to fraction form
    48.73/106.00 = 106.00/x
  3. Step 3: Cross multiply
    48.73x = 106.00 × 106.00
  4. Step 4: Simplify right side
    48.73x = 11,235.17
  5. Step 5: Solve for x
    x = 11,235.17/48.73
  6. Step 6: Final answer
    x = 230.58

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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.