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Finding the Third Proportional to 113.91 and 172.97

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Solution

The third proportional to 113.91 and 172.97 is: 262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.91 : 172.97 = 172.97 : x
  2. Step 2: Convert to fraction form
    113.91/172.97 = 172.97/x
  3. Step 3: Cross multiply
    113.91x = 172.97 × 172.97
  4. Step 4: Simplify right side
    113.91x = 29,918.19
  5. Step 5: Solve for x
    x = 29,918.19/113.91
  6. Step 6: Final answer
    x = 262.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.