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Finding the Third Proportional to 43,780 and 68,026

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Solution

The third proportional to 43,780 and 68,026 is: 105,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780 : 68,026 = 68,026 : x
  2. Step 2: Convert to fraction form
    43,780/68,026 = 68,026/x
  3. Step 3: Cross multiply
    43,780x = 68,026 × 68,026
  4. Step 4: Simplify right side
    43,780x = 4,627,536,676
  5. Step 5: Solve for x
    x = 4,627,536,676/43,780
  6. Step 6: Final answer
    x = 105,699.79

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