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Finding the Third Proportional to 43,351 and 68,662

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Solution

The third proportional to 43,351 and 68,662 is: 108,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,351 : 68,662 = 68,662 : x
  2. Step 2: Convert to fraction form
    43,351/68,662 = 68,662/x
  3. Step 3: Cross multiply
    43,351x = 68,662 × 68,662
  4. Step 4: Simplify right side
    43,351x = 4,714,470,244
  5. Step 5: Solve for x
    x = 4,714,470,244/43,351
  6. Step 6: Final answer
    x = 108,751.13

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.