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Finding the Third Proportional to 43,922 and 68,111

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Solution

The third proportional to 43,922 and 68,111 is: 105,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,922 : 68,111 = 68,111 : x
  2. Step 2: Convert to fraction form
    43,922/68,111 = 68,111/x
  3. Step 3: Cross multiply
    43,922x = 68,111 × 68,111
  4. Step 4: Simplify right side
    43,922x = 4,639,108,321
  5. Step 5: Solve for x
    x = 4,639,108,321/43,922
  6. Step 6: Final answer
    x = 105,621.52

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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.