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Finding the Third Proportional to 54.94 and 100.03

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Solution

The third proportional to 54.94 and 100.03 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.94 : 100.03 = 100.03 : x
  2. Step 2: Convert to fraction form
    54.94/100.03 = 100.03/x
  3. Step 3: Cross multiply
    54.94x = 100.03 × 100.03
  4. Step 4: Simplify right side
    54.94x = 10,006.25
  5. Step 5: Solve for x
    x = 10,006.25/54.94
  6. Step 6: Final answer
    x = 182.14

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.