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Finding the Third Proportional to 51,912 and 115,920

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Solution

The third proportional to 51,912 and 115,920 is: 258,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912 : 115,920 = 115,920 : x
  2. Step 2: Convert to fraction form
    51,912/115,920 = 115,920/x
  3. Step 3: Cross multiply
    51,912x = 115,920 × 115,920
  4. Step 4: Simplify right side
    51,912x = 13,437,446,400
  5. Step 5: Solve for x
    x = 13,437,446,400/51,912
  6. Step 6: Final answer
    x = 258,850.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.