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Finding the Third Proportional to 57,708 and 125,253

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Solution

The third proportional to 57,708 and 125,253 is: 271,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708 : 125,253 = 125,253 : x
  2. Step 2: Convert to fraction form
    57,708/125,253 = 125,253/x
  3. Step 3: Cross multiply
    57,708x = 125,253 × 125,253
  4. Step 4: Simplify right side
    57,708x = 15,688,314,009
  5. Step 5: Solve for x
    x = 15,688,314,009/57,708
  6. Step 6: Final answer
    x = 271,856.83

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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.