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Finding the Third Proportional to 104,940 and 166,435.88

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Solution

The third proportional to 104,940 and 166,435.88 is: 263,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,940 : 166,435.88 = 166,435.88 : x
  2. Step 2: Convert to fraction form
    104,940/166,435.88 = 166,435.88/x
  3. Step 3: Cross multiply
    104,940x = 166,435.88 × 166,435.88
  4. Step 4: Simplify right side
    104,940x = 27,700,900,487.02
  5. Step 5: Solve for x
    x = 27,700,900,487.02/104,940
  6. Step 6: Final answer
    x = 263,968.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.