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Finding the Third Proportional to 57,652 and 125,960

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Solution

The third proportional to 57,652 and 125,960 is: 275,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,652 : 125,960 = 125,960 : x
  2. Step 2: Convert to fraction form
    57,652/125,960 = 125,960/x
  3. Step 3: Cross multiply
    57,652x = 125,960 × 125,960
  4. Step 4: Simplify right side
    57,652x = 15,865,921,600
  5. Step 5: Solve for x
    x = 15,865,921,600/57,652
  6. Step 6: Final answer
    x = 275,201.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.