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Finding the Third Proportional to 54 and 99.98

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Solution

The third proportional to 54 and 99.98 is: 185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 99.98 = 99.98 : x
  2. Step 2: Convert to fraction form
    54/99.98 = 99.98/x
  3. Step 3: Cross multiply
    54x = 99.98 × 99.98
  4. Step 4: Simplify right side
    54x = 9,996.88
  5. Step 5: Solve for x
    x = 9,996.88/54
  6. Step 6: Final answer
    x = 185.13

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.