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Finding the Third Proportional to 43,016 and 92,625

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Solution

The third proportional to 43,016 and 92,625 is: 199,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,016 : 92,625 = 92,625 : x
  2. Step 2: Convert to fraction form
    43,016/92,625 = 92,625/x
  3. Step 3: Cross multiply
    43,016x = 92,625 × 92,625
  4. Step 4: Simplify right side
    43,016x = 8,579,390,625
  5. Step 5: Solve for x
    x = 8,579,390,625/43,016
  6. Step 6: Final answer
    x = 199,446.50

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Why These Related Problems?

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