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Finding the Third Proportional to 114.06 and 175.56

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Solution

The third proportional to 114.06 and 175.56 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 175.56 = 175.56 : x
  2. Step 2: Convert to fraction form
    114.06/175.56 = 175.56/x
  3. Step 3: Cross multiply
    114.06x = 175.56 × 175.56
  4. Step 4: Simplify right side
    114.06x = 30,822.19
  5. Step 5: Solve for x
    x = 30,822.19/114.06
  6. Step 6: Final answer
    x = 270.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.