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Finding the Third Proportional to 52,372 and 113,116

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Solution

The third proportional to 52,372 and 113,116 is: 244,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,372 : 113,116 = 113,116 : x
  2. Step 2: Convert to fraction form
    52,372/113,116 = 113,116/x
  3. Step 3: Cross multiply
    52,372x = 113,116 × 113,116
  4. Step 4: Simplify right side
    52,372x = 12,795,229,456
  5. Step 5: Solve for x
    x = 12,795,229,456/52,372
  6. Step 6: Final answer
    x = 244,314.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.