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Finding the Third Proportional to 114.56 and 167.81

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Solution

The third proportional to 114.56 and 167.81 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 167.81 = 167.81 : x
  2. Step 2: Convert to fraction form
    114.56/167.81 = 167.81/x
  3. Step 3: Cross multiply
    114.56x = 167.81 × 167.81
  4. Step 4: Simplify right side
    114.56x = 28,161.04
  5. Step 5: Solve for x
    x = 28,161.04/114.56
  6. Step 6: Final answer
    x = 245.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.