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Finding the Third Proportional to 43,125.75 and 65,466.56

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Solution

The third proportional to 43,125.75 and 65,466.56 is: 99,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125.75 : 65,466.56 = 65,466.56 : x
  2. Step 2: Convert to fraction form
    43,125.75/65,466.56 = 65,466.56/x
  3. Step 3: Cross multiply
    43,125.75x = 65,466.56 × 65,466.56
  4. Step 4: Simplify right side
    43,125.75x = 4,285,870,805.57
  5. Step 5: Solve for x
    x = 4,285,870,805.57/43,125.75
  6. Step 6: Final answer
    x = 99,380.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.