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Finding the Third Proportional to 93,992 and 205,134

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Solution

The third proportional to 93,992 and 205,134 is: 447,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,992 : 205,134 = 205,134 : x
  2. Step 2: Convert to fraction form
    93,992/205,134 = 205,134/x
  3. Step 3: Cross multiply
    93,992x = 205,134 × 205,134
  4. Step 4: Simplify right side
    93,992x = 42,079,957,956
  5. Step 5: Solve for x
    x = 42,079,957,956/93,992
  6. Step 6: Final answer
    x = 447,697.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.