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Finding the Third Proportional to 43,052 and 92,701

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Solution

The third proportional to 43,052 and 92,701 is: 199,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,052 : 92,701 = 92,701 : x
  2. Step 2: Convert to fraction form
    43,052/92,701 = 92,701/x
  3. Step 3: Cross multiply
    43,052x = 92,701 × 92,701
  4. Step 4: Simplify right side
    43,052x = 8,593,475,401
  5. Step 5: Solve for x
    x = 8,593,475,401/43,052
  6. Step 6: Final answer
    x = 199,606.88

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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.