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Finding the Third Proportional to 114.43 and 169.51

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Solution

The third proportional to 114.43 and 169.51 is: 251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.43 : 169.51 = 169.51 : x
  2. Step 2: Convert to fraction form
    114.43/169.51 = 169.51/x
  3. Step 3: Cross multiply
    114.43x = 169.51 × 169.51
  4. Step 4: Simplify right side
    114.43x = 28,735.22
  5. Step 5: Solve for x
    x = 28,735.22/114.43
  6. Step 6: Final answer
    x = 251.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.