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Finding the Third Proportional to 43,176 and 92,856

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Solution

The third proportional to 43,176 and 92,856 is: 199,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,176 : 92,856 = 92,856 : x
  2. Step 2: Convert to fraction form
    43,176/92,856 = 92,856/x
  3. Step 3: Cross multiply
    43,176x = 92,856 × 92,856
  4. Step 4: Simplify right side
    43,176x = 8,622,236,736
  5. Step 5: Solve for x
    x = 8,622,236,736/43,176
  6. Step 6: Final answer
    x = 199,699.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.