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Finding the Third Proportional to 44,992 and 71,494

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Solution

The third proportional to 44,992 and 71,494 is: 113,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,992 : 71,494 = 71,494 : x
  2. Step 2: Convert to fraction form
    44,992/71,494 = 71,494/x
  3. Step 3: Cross multiply
    44,992x = 71,494 × 71,494
  4. Step 4: Simplify right side
    44,992x = 5,111,392,036
  5. Step 5: Solve for x
    x = 5,111,392,036/44,992
  6. Step 6: Final answer
    x = 113,606.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.