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Finding the Third Proportional to 116.63 and 126

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Solution

The third proportional to 116.63 and 126 is: 136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 126 = 126 : x
  2. Step 2: Convert to fraction form
    116.63/126 = 126/x
  3. Step 3: Cross multiply
    116.63x = 126 × 126
  4. Step 4: Simplify right side
    116.63x = 15,876
  5. Step 5: Solve for x
    x = 15,876/116.63
  6. Step 6: Final answer
    x = 136.13

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.