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Finding the Third Proportional to 114.63 and 125.56

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Solution

The third proportional to 114.63 and 125.56 is: 137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.63 : 125.56 = 125.56 : x
  2. Step 2: Convert to fraction form
    114.63/125.56 = 125.56/x
  3. Step 3: Cross multiply
    114.63x = 125.56 × 125.56
  4. Step 4: Simplify right side
    114.63x = 15,765.94
  5. Step 5: Solve for x
    x = 15,765.94/114.63
  6. Step 6: Final answer
    x = 137.54

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.