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Finding the Third Proportional to 110,262.94 and 164,958.19

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Solution

The third proportional to 110,262.94 and 164,958.19 is: 246,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,262.94 : 164,958.19 = 164,958.19 : x
  2. Step 2: Convert to fraction form
    110,262.94/164,958.19 = 164,958.19/x
  3. Step 3: Cross multiply
    110,262.94x = 164,958.19 × 164,958.19
  4. Step 4: Simplify right side
    110,262.94x = 27,211,203,623.29
  5. Step 5: Solve for x
    x = 27,211,203,623.29/110,262.94
  6. Step 6: Final answer
    x = 246,784.68

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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.