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Finding the Third Proportional to 57,759 and 125,886

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Solution

The third proportional to 57,759 and 125,886 is: 274,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,759 : 125,886 = 125,886 : x
  2. Step 2: Convert to fraction form
    57,759/125,886 = 125,886/x
  3. Step 3: Cross multiply
    57,759x = 125,886 × 125,886
  4. Step 4: Simplify right side
    57,759x = 15,847,284,996
  5. Step 5: Solve for x
    x = 15,847,284,996/57,759
  6. Step 6: Final answer
    x = 274,369.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.