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Finding the Third Proportional to 57,378 and 123,990

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Solution

The third proportional to 57,378 and 123,990 is: 267,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378 : 123,990 = 123,990 : x
  2. Step 2: Convert to fraction form
    57,378/123,990 = 123,990/x
  3. Step 3: Cross multiply
    57,378x = 123,990 × 123,990
  4. Step 4: Simplify right side
    57,378x = 15,373,520,100
  5. Step 5: Solve for x
    x = 15,373,520,100/57,378
  6. Step 6: Final answer
    x = 267,934.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.