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Finding the Third Proportional to 44,401 and 95,099

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Solution

The third proportional to 44,401 and 95,099 is: 203,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,401 : 95,099 = 95,099 : x
  2. Step 2: Convert to fraction form
    44,401/95,099 = 95,099/x
  3. Step 3: Cross multiply
    44,401x = 95,099 × 95,099
  4. Step 4: Simplify right side
    44,401x = 9,043,819,801
  5. Step 5: Solve for x
    x = 9,043,819,801/44,401
  6. Step 6: Final answer
    x = 203,685.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.