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Finding the Third Proportional to 89,716.50 and 193,257

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Solution

The third proportional to 89,716.50 and 193,257 is: 416,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,716.50 : 193,257 = 193,257 : x
  2. Step 2: Convert to fraction form
    89,716.50/193,257 = 193,257/x
  3. Step 3: Cross multiply
    89,716.50x = 193,257 × 193,257
  4. Step 4: Simplify right side
    89,716.50x = 37,348,268,049
  5. Step 5: Solve for x
    x = 37,348,268,049/89,716.50
  6. Step 6: Final answer
    x = 416,292.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.