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Finding the Third Proportional to 84.27 and 126.51

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Solution

The third proportional to 84.27 and 126.51 is: 189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.27 : 126.51 = 126.51 : x
  2. Step 2: Convert to fraction form
    84.27/126.51 = 126.51/x
  3. Step 3: Cross multiply
    84.27x = 126.51 × 126.51
  4. Step 4: Simplify right side
    84.27x = 16,004.72
  5. Step 5: Solve for x
    x = 16,004.72/84.27
  6. Step 6: Final answer
    x = 189.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.