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Finding the Third Proportional to 45,968 and 94,812

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Solution

The third proportional to 45,968 and 94,812 is: 195,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,968 : 94,812 = 94,812 : x
  2. Step 2: Convert to fraction form
    45,968/94,812 = 94,812/x
  3. Step 3: Cross multiply
    45,968x = 94,812 × 94,812
  4. Step 4: Simplify right side
    45,968x = 8,989,315,344
  5. Step 5: Solve for x
    x = 8,989,315,344/45,968
  6. Step 6: Final answer
    x = 195,555.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.