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Finding the Third Proportional to 95,023 and 204,773

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Solution

The third proportional to 95,023 and 204,773 is: 441,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,023 : 204,773 = 204,773 : x
  2. Step 2: Convert to fraction form
    95,023/204,773 = 204,773/x
  3. Step 3: Cross multiply
    95,023x = 204,773 × 204,773
  4. Step 4: Simplify right side
    95,023x = 41,931,981,529
  5. Step 5: Solve for x
    x = 41,931,981,529/95,023
  6. Step 6: Final answer
    x = 441,282.44

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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.