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Finding the Third Proportional to 57,540 and 125,838

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Solution

The third proportional to 57,540 and 125,838 is: 275,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,540 : 125,838 = 125,838 : x
  2. Step 2: Convert to fraction form
    57,540/125,838 = 125,838/x
  3. Step 3: Cross multiply
    57,540x = 125,838 × 125,838
  4. Step 4: Simplify right side
    57,540x = 15,835,202,244
  5. Step 5: Solve for x
    x = 15,835,202,244/57,540
  6. Step 6: Final answer
    x = 275,203.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.