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Finding the Third Proportional to 124.75 and 255.63

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Solution

The third proportional to 124.75 and 255.63 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.75 : 255.63 = 255.63 : x
  2. Step 2: Convert to fraction form
    124.75/255.63 = 255.63/x
  3. Step 3: Cross multiply
    124.75x = 255.63 × 255.63
  4. Step 4: Simplify right side
    124.75x = 65,344.14
  5. Step 5: Solve for x
    x = 65,344.14/124.75
  6. Step 6: Final answer
    x = 523.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.