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Finding the Third Proportional to 57,596 and 124,836

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Solution

The third proportional to 57,596 and 124,836 is: 270,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,596 : 124,836 = 124,836 : x
  2. Step 2: Convert to fraction form
    57,596/124,836 = 124,836/x
  3. Step 3: Cross multiply
    57,596x = 124,836 × 124,836
  4. Step 4: Simplify right side
    57,596x = 15,584,026,896
  5. Step 5: Solve for x
    x = 15,584,026,896/57,596
  6. Step 6: Final answer
    x = 270,574.81

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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.