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Finding the Third Proportional to 57,381 and 123,826

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Solution

The third proportional to 57,381 and 123,826 is: 267,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381 : 123,826 = 123,826 : x
  2. Step 2: Convert to fraction form
    57,381/123,826 = 123,826/x
  3. Step 3: Cross multiply
    57,381x = 123,826 × 123,826
  4. Step 4: Simplify right side
    57,381x = 15,332,878,276
  5. Step 5: Solve for x
    x = 15,332,878,276/57,381
  6. Step 6: Final answer
    x = 267,211.76

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