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Finding the Third Proportional to 125,059 and 273,836

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Solution

The third proportional to 125,059 and 273,836 is: 599,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,059 : 273,836 = 273,836 : x
  2. Step 2: Convert to fraction form
    125,059/273,836 = 273,836/x
  3. Step 3: Cross multiply
    125,059x = 273,836 × 273,836
  4. Step 4: Simplify right side
    125,059x = 74,986,154,896
  5. Step 5: Solve for x
    x = 74,986,154,896/125,059
  6. Step 6: Final answer
    x = 599,606.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.