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Finding the Third Proportional to 94,762 and 204,104

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Solution

The third proportional to 94,762 and 204,104 is: 439,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,762 : 204,104 = 204,104 : x
  2. Step 2: Convert to fraction form
    94,762/204,104 = 204,104/x
  3. Step 3: Cross multiply
    94,762x = 204,104 × 204,104
  4. Step 4: Simplify right side
    94,762x = 41,658,442,816
  5. Step 5: Solve for x
    x = 41,658,442,816/94,762
  6. Step 6: Final answer
    x = 439,611.27

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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.