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Finding the Third Proportional to 93,966 and 140,994

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Solution

The third proportional to 93,966 and 140,994 is: 211,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,966 : 140,994 = 140,994 : x
  2. Step 2: Convert to fraction form
    93,966/140,994 = 140,994/x
  3. Step 3: Cross multiply
    93,966x = 140,994 × 140,994
  4. Step 4: Simplify right side
    93,966x = 19,879,308,036
  5. Step 5: Solve for x
    x = 19,879,308,036/93,966
  6. Step 6: Final answer
    x = 211,558.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.