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Finding the Third Proportional to 136,054 and 204,218

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Solution

The third proportional to 136,054 and 204,218 is: 306,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,054 : 204,218 = 204,218 : x
  2. Step 2: Convert to fraction form
    136,054/204,218 = 204,218/x
  3. Step 3: Cross multiply
    136,054x = 204,218 × 204,218
  4. Step 4: Simplify right side
    136,054x = 41,704,991,524
  5. Step 5: Solve for x
    x = 41,704,991,524/136,054
  6. Step 6: Final answer
    x = 306,532.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.