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Finding the Third Proportional to 94,992 and 205,212

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Solution

The third proportional to 94,992 and 205,212 is: 443,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,992 : 205,212 = 205,212 : x
  2. Step 2: Convert to fraction form
    94,992/205,212 = 205,212/x
  3. Step 3: Cross multiply
    94,992x = 205,212 × 205,212
  4. Step 4: Simplify right side
    94,992x = 42,111,964,944
  5. Step 5: Solve for x
    x = 42,111,964,944/94,992
  6. Step 6: Final answer
    x = 443,321.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.