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Finding the Third Proportional to 43,462 and 71,914

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Solution

The third proportional to 43,462 and 71,914 is: 118,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,462 : 71,914 = 71,914 : x
  2. Step 2: Convert to fraction form
    43,462/71,914 = 71,914/x
  3. Step 3: Cross multiply
    43,462x = 71,914 × 71,914
  4. Step 4: Simplify right side
    43,462x = 5,171,623,396
  5. Step 5: Solve for x
    x = 5,171,623,396/43,462
  6. Step 6: Final answer
    x = 118,991.84

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.