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Finding the Third Proportional to 51,845 and 111,058

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Solution

The third proportional to 51,845 and 111,058 is: 237,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,845 : 111,058 = 111,058 : x
  2. Step 2: Convert to fraction form
    51,845/111,058 = 111,058/x
  3. Step 3: Cross multiply
    51,845x = 111,058 × 111,058
  4. Step 4: Simplify right side
    51,845x = 12,333,879,364
  5. Step 5: Solve for x
    x = 12,333,879,364/51,845
  6. Step 6: Final answer
    x = 237,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.