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Finding the Third Proportional to 115.01 and 174.92

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Solution

The third proportional to 115.01 and 174.92 is: 266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.01 : 174.92 = 174.92 : x
  2. Step 2: Convert to fraction form
    115.01/174.92 = 174.92/x
  3. Step 3: Cross multiply
    115.01x = 174.92 × 174.92
  4. Step 4: Simplify right side
    115.01x = 30,596.98
  5. Step 5: Solve for x
    x = 30,596.98/115.01
  6. Step 6: Final answer
    x = 266.03

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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.