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Finding the Third Proportional to 43,868 and 68,049

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Solution

The third proportional to 43,868 and 68,049 is: 105,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,868 : 68,049 = 68,049 : x
  2. Step 2: Convert to fraction form
    43,868/68,049 = 68,049/x
  3. Step 3: Cross multiply
    43,868x = 68,049 × 68,049
  4. Step 4: Simplify right side
    43,868x = 4,630,666,401
  5. Step 5: Solve for x
    x = 4,630,666,401/43,868
  6. Step 6: Final answer
    x = 105,559.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.