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Finding the Third Proportional to 93,762 and 205,326

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Solution

The third proportional to 93,762 and 205,326 is: 449,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,762 : 205,326 = 205,326 : x
  2. Step 2: Convert to fraction form
    93,762/205,326 = 205,326/x
  3. Step 3: Cross multiply
    93,762x = 205,326 × 205,326
  4. Step 4: Simplify right side
    93,762x = 42,158,766,276
  5. Step 5: Solve for x
    x = 42,158,766,276/93,762
  6. Step 6: Final answer
    x = 449,635.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.