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Finding the Third Proportional to 57,543 and 123,081

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Solution

The third proportional to 57,543 and 123,081 is: 263,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,543 : 123,081 = 123,081 : x
  2. Step 2: Convert to fraction form
    57,543/123,081 = 123,081/x
  3. Step 3: Cross multiply
    57,543x = 123,081 × 123,081
  4. Step 4: Simplify right side
    57,543x = 15,148,932,561
  5. Step 5: Solve for x
    x = 15,148,932,561/57,543
  6. Step 6: Final answer
    x = 263,262.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.