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Finding the Third Proportional to 43,176.50 and 92,857

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Solution

The third proportional to 43,176.50 and 92,857 is: 199,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,176.50 : 92,857 = 92,857 : x
  2. Step 2: Convert to fraction form
    43,176.50/92,857 = 92,857/x
  3. Step 3: Cross multiply
    43,176.50x = 92,857 × 92,857
  4. Step 4: Simplify right side
    43,176.50x = 8,622,422,449
  5. Step 5: Solve for x
    x = 8,622,422,449/43,176.50
  6. Step 6: Final answer
    x = 199,701.75

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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.