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Finding the Third Proportional to 45,729.75 and 68,250.38

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Solution

The third proportional to 45,729.75 and 68,250.38 is: 101,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,729.75 : 68,250.38 = 68,250.38 : x
  2. Step 2: Convert to fraction form
    45,729.75/68,250.38 = 68,250.38/x
  3. Step 3: Cross multiply
    45,729.75x = 68,250.38 × 68,250.38
  4. Step 4: Simplify right side
    45,729.75x = 4,658,113,687.64
  5. Step 5: Solve for x
    x = 4,658,113,687.64/45,729.75
  6. Step 6: Final answer
    x = 101,861.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.