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Finding the Third Proportional to 47,456 and 71,052

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Solution

The third proportional to 47,456 and 71,052 is: 106,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,456 : 71,052 = 71,052 : x
  2. Step 2: Convert to fraction form
    47,456/71,052 = 71,052/x
  3. Step 3: Cross multiply
    47,456x = 71,052 × 71,052
  4. Step 4: Simplify right side
    47,456x = 5,048,386,704
  5. Step 5: Solve for x
    x = 5,048,386,704/47,456
  6. Step 6: Final answer
    x = 106,380.37

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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.