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Finding the Third Proportional to 57,686 and 123,990

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Solution

The third proportional to 57,686 and 123,990 is: 266,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,686 : 123,990 = 123,990 : x
  2. Step 2: Convert to fraction form
    57,686/123,990 = 123,990/x
  3. Step 3: Cross multiply
    57,686x = 123,990 × 123,990
  4. Step 4: Simplify right side
    57,686x = 15,373,520,100
  5. Step 5: Solve for x
    x = 15,373,520,100/57,686
  6. Step 6: Final answer
    x = 266,503.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.