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Finding the Third Proportional to 115.13 and 172.31

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Solution

The third proportional to 115.13 and 172.31 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 172.31 = 172.31 : x
  2. Step 2: Convert to fraction form
    115.13/172.31 = 172.31/x
  3. Step 3: Cross multiply
    115.13x = 172.31 × 172.31
  4. Step 4: Simplify right side
    115.13x = 29,691.60
  5. Step 5: Solve for x
    x = 29,691.60/115.13
  6. Step 6: Final answer
    x = 257.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.