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Finding the Third Proportional to 54.84 and 104.06

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Solution

The third proportional to 54.84 and 104.06 is: 197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 104.06 = 104.06 : x
  2. Step 2: Convert to fraction form
    54.84/104.06 = 104.06/x
  3. Step 3: Cross multiply
    54.84x = 104.06 × 104.06
  4. Step 4: Simplify right side
    54.84x = 10,829.00
  5. Step 5: Solve for x
    x = 10,829.00/54.84
  6. Step 6: Final answer
    x = 197.45

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.