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Finding the Third Proportional to 105,749.25 and 166,142.25

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Solution

The third proportional to 105,749.25 and 166,142.25 is: 261,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,749.25 : 166,142.25 = 166,142.25 : x
  2. Step 2: Convert to fraction form
    105,749.25/166,142.25 = 166,142.25/x
  3. Step 3: Cross multiply
    105,749.25x = 166,142.25 × 166,142.25
  4. Step 4: Simplify right side
    105,749.25x = 27,603,247,235.06
  5. Step 5: Solve for x
    x = 27,603,247,235.06/105,749.25
  6. Step 6: Final answer
    x = 261,025.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.