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Finding the Third Proportional to 102.94 and 167.44

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Solution

The third proportional to 102.94 and 167.44 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 167.44 = 167.44 : x
  2. Step 2: Convert to fraction form
    102.94/167.44 = 167.44/x
  3. Step 3: Cross multiply
    102.94x = 167.44 × 167.44
  4. Step 4: Simplify right side
    102.94x = 28,035.32
  5. Step 5: Solve for x
    x = 28,035.32/102.94
  6. Step 6: Final answer
    x = 272.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.