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Finding the Third Proportional to 115.06 and 176.03

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Solution

The third proportional to 115.06 and 176.03 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.06 : 176.03 = 176.03 : x
  2. Step 2: Convert to fraction form
    115.06/176.03 = 176.03/x
  3. Step 3: Cross multiply
    115.06x = 176.03 × 176.03
  4. Step 4: Simplify right side
    115.06x = 30,987.00
  5. Step 5: Solve for x
    x = 30,987.00/115.06
  6. Step 6: Final answer
    x = 269.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.