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Finding the Third Proportional to 90,207 and 204,027

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Solution

The third proportional to 90,207 and 204,027 is: 461,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,207 : 204,027 = 204,027 : x
  2. Step 2: Convert to fraction form
    90,207/204,027 = 204,027/x
  3. Step 3: Cross multiply
    90,207x = 204,027 × 204,027
  4. Step 4: Simplify right side
    90,207x = 41,627,016,729
  5. Step 5: Solve for x
    x = 41,627,016,729/90,207
  6. Step 6: Final answer
    x = 461,461.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.