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Finding the Third Proportional to 43,947 and 68,103

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Solution

The third proportional to 43,947 and 68,103 is: 105,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,947 : 68,103 = 68,103 : x
  2. Step 2: Convert to fraction form
    43,947/68,103 = 68,103/x
  3. Step 3: Cross multiply
    43,947x = 68,103 × 68,103
  4. Step 4: Simplify right side
    43,947x = 4,638,018,609
  5. Step 5: Solve for x
    x = 4,638,018,609/43,947
  6. Step 6: Final answer
    x = 105,536.64

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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.