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Finding the Third Proportional to 57,271 and 125,834

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Solution

The third proportional to 57,271 and 125,834 is: 276,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,271 : 125,834 = 125,834 : x
  2. Step 2: Convert to fraction form
    57,271/125,834 = 125,834/x
  3. Step 3: Cross multiply
    57,271x = 125,834 × 125,834
  4. Step 4: Simplify right side
    57,271x = 15,834,195,556
  5. Step 5: Solve for x
    x = 15,834,195,556/57,271
  6. Step 6: Final answer
    x = 276,478.42

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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.