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Finding the Third Proportional to 101.13 and 174.26

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Solution

The third proportional to 101.13 and 174.26 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.13 : 174.26 = 174.26 : x
  2. Step 2: Convert to fraction form
    101.13/174.26 = 174.26/x
  3. Step 3: Cross multiply
    101.13x = 174.26 × 174.26
  4. Step 4: Simplify right side
    101.13x = 30,365.79
  5. Step 5: Solve for x
    x = 30,365.79/101.13
  6. Step 6: Final answer
    x = 300.26

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.