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Finding the Third Proportional to 134,504 and 188,504

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Solution

The third proportional to 134,504 and 188,504 is: 264,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,504 : 188,504 = 188,504 : x
  2. Step 2: Convert to fraction form
    134,504/188,504 = 188,504/x
  3. Step 3: Cross multiply
    134,504x = 188,504 × 188,504
  4. Step 4: Simplify right side
    134,504x = 35,533,758,016
  5. Step 5: Solve for x
    x = 35,533,758,016/134,504
  6. Step 6: Final answer
    x = 264,183.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.