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Finding the Third Proportional to 41,892.50 and 86,701

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Solution

The third proportional to 41,892.50 and 86,701 is: 179,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892.50 : 86,701 = 86,701 : x
  2. Step 2: Convert to fraction form
    41,892.50/86,701 = 86,701/x
  3. Step 3: Cross multiply
    41,892.50x = 86,701 × 86,701
  4. Step 4: Simplify right side
    41,892.50x = 7,517,063,401
  5. Step 5: Solve for x
    x = 7,517,063,401/41,892.50
  6. Step 6: Final answer
    x = 179,436.97

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.