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Finding the Third Proportional to 125,920 and 273,993

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Solution

The third proportional to 125,920 and 273,993 is: 596,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,920 : 273,993 = 273,993 : x
  2. Step 2: Convert to fraction form
    125,920/273,993 = 273,993/x
  3. Step 3: Cross multiply
    125,920x = 273,993 × 273,993
  4. Step 4: Simplify right side
    125,920x = 75,072,164,049
  5. Step 5: Solve for x
    x = 75,072,164,049/125,920
  6. Step 6: Final answer
    x = 596,189.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.