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Finding the Third Proportional to 57,151 and 123,836

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Solution

The third proportional to 57,151 and 123,836 is: 268,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,151 : 123,836 = 123,836 : x
  2. Step 2: Convert to fraction form
    57,151/123,836 = 123,836/x
  3. Step 3: Cross multiply
    57,151x = 123,836 × 123,836
  4. Step 4: Simplify right side
    57,151x = 15,335,354,896
  5. Step 5: Solve for x
    x = 15,335,354,896/57,151
  6. Step 6: Final answer
    x = 268,330.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.