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Finding the Third Proportional to 45,504 and 67,905

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Solution

The third proportional to 45,504 and 67,905 is: 101,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,504 : 67,905 = 67,905 : x
  2. Step 2: Convert to fraction form
    45,504/67,905 = 67,905/x
  3. Step 3: Cross multiply
    45,504x = 67,905 × 67,905
  4. Step 4: Simplify right side
    45,504x = 4,611,089,025
  5. Step 5: Solve for x
    x = 4,611,089,025/45,504
  6. Step 6: Final answer
    x = 101,333.71

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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.