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Finding the Third Proportional to 93,751 and 206,262

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Solution

The third proportional to 93,751 and 206,262 is: 453,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,751 : 206,262 = 206,262 : x
  2. Step 2: Convert to fraction form
    93,751/206,262 = 206,262/x
  3. Step 3: Cross multiply
    93,751x = 206,262 × 206,262
  4. Step 4: Simplify right side
    93,751x = 42,544,012,644
  5. Step 5: Solve for x
    x = 42,544,012,644/93,751
  6. Step 6: Final answer
    x = 453,797.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.