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Finding the Third Proportional to 57,714 and 125,271

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Solution

The third proportional to 57,714 and 125,271 is: 271,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714 : 125,271 = 125,271 : x
  2. Step 2: Convert to fraction form
    57,714/125,271 = 125,271/x
  3. Step 3: Cross multiply
    57,714x = 125,271 × 125,271
  4. Step 4: Simplify right side
    57,714x = 15,692,823,441
  5. Step 5: Solve for x
    x = 15,692,823,441/57,714
  6. Step 6: Final answer
    x = 271,906.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.