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Finding the Third Proportional to 136,093 and 204,276

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Solution

The third proportional to 136,093 and 204,276 is: 306,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,093 : 204,276 = 204,276 : x
  2. Step 2: Convert to fraction form
    136,093/204,276 = 204,276/x
  3. Step 3: Cross multiply
    136,093x = 204,276 × 204,276
  4. Step 4: Simplify right side
    136,093x = 41,728,684,176
  5. Step 5: Solve for x
    x = 41,728,684,176/136,093
  6. Step 6: Final answer
    x = 306,618.89

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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.