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Finding the Third Proportional to 136,091.25 and 204,273

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Solution

The third proportional to 136,091.25 and 204,273 is: 306,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,091.25 : 204,273 = 204,273 : x
  2. Step 2: Convert to fraction form
    136,091.25/204,273 = 204,273/x
  3. Step 3: Cross multiply
    136,091.25x = 204,273 × 204,273
  4. Step 4: Simplify right side
    136,091.25x = 41,727,458,529
  5. Step 5: Solve for x
    x = 41,727,458,529/136,091.25
  6. Step 6: Final answer
    x = 306,613.82

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Why These Related Problems?

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