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Finding the Third Proportional to 125,183.81 and 259,115.63

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Solution

The third proportional to 125,183.81 and 259,115.63 is: 536,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,183.81 : 259,115.63 = 259,115.63 : x
  2. Step 2: Convert to fraction form
    125,183.81/259,115.63 = 259,115.63/x
  3. Step 3: Cross multiply
    125,183.81x = 259,115.63 × 259,115.63
  4. Step 4: Simplify right side
    125,183.81x = 67,140,907,119.14
  5. Step 5: Solve for x
    x = 67,140,907,119.14/125,183.81
  6. Step 6: Final answer
    x = 536,338.57

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.