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Finding the Third Proportional to 57,692 and 125,228

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Solution

The third proportional to 57,692 and 125,228 is: 271,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692 : 125,228 = 125,228 : x
  2. Step 2: Convert to fraction form
    57,692/125,228 = 125,228/x
  3. Step 3: Cross multiply
    57,692x = 125,228 × 125,228
  4. Step 4: Simplify right side
    57,692x = 15,682,051,984
  5. Step 5: Solve for x
    x = 15,682,051,984/57,692
  6. Step 6: Final answer
    x = 271,823.68

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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.