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Finding the Third Proportional to 93,781 and 203,582

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Solution

The third proportional to 93,781 and 203,582 is: 441,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,781 : 203,582 = 203,582 : x
  2. Step 2: Convert to fraction form
    93,781/203,582 = 203,582/x
  3. Step 3: Cross multiply
    93,781x = 203,582 × 203,582
  4. Step 4: Simplify right side
    93,781x = 41,445,630,724
  5. Step 5: Solve for x
    x = 41,445,630,724/93,781
  6. Step 6: Final answer
    x = 441,940.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.