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Finding the Third Proportional to 71,048 and 113,244

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Solution

The third proportional to 71,048 and 113,244 is: 180,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048 : 113,244 = 113,244 : x
  2. Step 2: Convert to fraction form
    71,048/113,244 = 113,244/x
  3. Step 3: Cross multiply
    71,048x = 113,244 × 113,244
  4. Step 4: Simplify right side
    71,048x = 12,824,203,536
  5. Step 5: Solve for x
    x = 12,824,203,536/71,048
  6. Step 6: Final answer
    x = 180,500.56

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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.