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Finding the Third Proportional to 125,919 and 273,991

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Solution

The third proportional to 125,919 and 273,991 is: 596,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,919 : 273,991 = 273,991 : x
  2. Step 2: Convert to fraction form
    125,919/273,991 = 273,991/x
  3. Step 3: Cross multiply
    125,919x = 273,991 × 273,991
  4. Step 4: Simplify right side
    125,919x = 75,071,068,081
  5. Step 5: Solve for x
    x = 75,071,068,081/125,919
  6. Step 6: Final answer
    x = 596,185.39

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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.