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Finding the Third Proportional to 53,745.75 and 125,505

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Solution

The third proportional to 53,745.75 and 125,505 is: 293,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745.75 : 125,505 = 125,505 : x
  2. Step 2: Convert to fraction form
    53,745.75/125,505 = 125,505/x
  3. Step 3: Cross multiply
    53,745.75x = 125,505 × 125,505
  4. Step 4: Simplify right side
    53,745.75x = 15,751,505,025
  5. Step 5: Solve for x
    x = 15,751,505,025/53,745.75
  6. Step 6: Final answer
    x = 293,074.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.