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Finding the Third Proportional to 47,433 and 71,126

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Solution

The third proportional to 47,433 and 71,126 is: 106,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,433 : 71,126 = 71,126 : x
  2. Step 2: Convert to fraction form
    47,433/71,126 = 71,126/x
  3. Step 3: Cross multiply
    47,433x = 71,126 × 71,126
  4. Step 4: Simplify right side
    47,433x = 5,058,907,876
  5. Step 5: Solve for x
    x = 5,058,907,876/47,433
  6. Step 6: Final answer
    x = 106,653.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.