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Finding the Third Proportional to 57,278 and 125,851

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Solution

The third proportional to 57,278 and 125,851 is: 276,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,278 : 125,851 = 125,851 : x
  2. Step 2: Convert to fraction form
    57,278/125,851 = 125,851/x
  3. Step 3: Cross multiply
    57,278x = 125,851 × 125,851
  4. Step 4: Simplify right side
    57,278x = 15,838,474,201
  5. Step 5: Solve for x
    x = 15,838,474,201/57,278
  6. Step 6: Final answer
    x = 276,519.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.