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Finding the Third Proportional to 125,921 and 273,995

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Solution

The third proportional to 125,921 and 273,995 is: 596,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,921 : 273,995 = 273,995 : x
  2. Step 2: Convert to fraction form
    125,921/273,995 = 273,995/x
  3. Step 3: Cross multiply
    125,921x = 273,995 × 273,995
  4. Step 4: Simplify right side
    125,921x = 75,073,260,025
  5. Step 5: Solve for x
    x = 75,073,260,025/125,921
  6. Step 6: Final answer
    x = 596,193.33

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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.