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Finding the Third Proportional to 57,031 and 125,510

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Solution

The third proportional to 57,031 and 125,510 is: 276,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,031 : 125,510 = 125,510 : x
  2. Step 2: Convert to fraction form
    57,031/125,510 = 125,510/x
  3. Step 3: Cross multiply
    57,031x = 125,510 × 125,510
  4. Step 4: Simplify right side
    57,031x = 15,752,760,100
  5. Step 5: Solve for x
    x = 15,752,760,100/57,031
  6. Step 6: Final answer
    x = 276,213.99

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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.