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Finding the Third Proportional to 41,763 and 91,063.50

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Solution

The third proportional to 41,763 and 91,063.50 is: 198,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,763 : 91,063.50 = 91,063.50 : x
  2. Step 2: Convert to fraction form
    41,763/91,063.50 = 91,063.50/x
  3. Step 3: Cross multiply
    41,763x = 91,063.50 × 91,063.50
  4. Step 4: Simplify right side
    41,763x = 8,292,561,032.25
  5. Step 5: Solve for x
    x = 8,292,561,032.25/41,763
  6. Step 6: Final answer
    x = 198,562.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.