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Finding the Third Proportional to 43,865 and 68,045

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Solution

The third proportional to 43,865 and 68,045 is: 105,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,865 : 68,045 = 68,045 : x
  2. Step 2: Convert to fraction form
    43,865/68,045 = 68,045/x
  3. Step 3: Cross multiply
    43,865x = 68,045 × 68,045
  4. Step 4: Simplify right side
    43,865x = 4,630,122,025
  5. Step 5: Solve for x
    x = 4,630,122,025/43,865
  6. Step 6: Final answer
    x = 105,553.90

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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.