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Finding the Third Proportional to 51,880 and 117,232

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Solution

The third proportional to 51,880 and 117,232 is: 264,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880 : 117,232 = 117,232 : x
  2. Step 2: Convert to fraction form
    51,880/117,232 = 117,232/x
  3. Step 3: Cross multiply
    51,880x = 117,232 × 117,232
  4. Step 4: Simplify right side
    51,880x = 13,743,341,824
  5. Step 5: Solve for x
    x = 13,743,341,824/51,880
  6. Step 6: Final answer
    x = 264,906.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.