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Finding the Third Proportional to 44,050 and 96,812

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Solution

The third proportional to 44,050 and 96,812 is: 212,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,050 : 96,812 = 96,812 : x
  2. Step 2: Convert to fraction form
    44,050/96,812 = 96,812/x
  3. Step 3: Cross multiply
    44,050x = 96,812 × 96,812
  4. Step 4: Simplify right side
    44,050x = 9,372,563,344
  5. Step 5: Solve for x
    x = 9,372,563,344/44,050
  6. Step 6: Final answer
    x = 212,771.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.