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Finding the Third Proportional to 125,802 and 274,930

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Solution

The third proportional to 125,802 and 274,930 is: 600,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,802 : 274,930 = 274,930 : x
  2. Step 2: Convert to fraction form
    125,802/274,930 = 274,930/x
  3. Step 3: Cross multiply
    125,802x = 274,930 × 274,930
  4. Step 4: Simplify right side
    125,802x = 75,586,504,900
  5. Step 5: Solve for x
    x = 75,586,504,900/125,802
  6. Step 6: Final answer
    x = 600,837.07

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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.