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Finding the Third Proportional to 57,685 and 125,162

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Solution

The third proportional to 57,685 and 125,162 is: 271,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,685 : 125,162 = 125,162 : x
  2. Step 2: Convert to fraction form
    57,685/125,162 = 125,162/x
  3. Step 3: Cross multiply
    57,685x = 125,162 × 125,162
  4. Step 4: Simplify right side
    57,685x = 15,665,526,244
  5. Step 5: Solve for x
    x = 15,665,526,244/57,685
  6. Step 6: Final answer
    x = 271,570.19

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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.