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Finding the Third Proportional to 51,858 and 110,824

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Solution

The third proportional to 51,858 and 110,824 is: 236,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,858 : 110,824 = 110,824 : x
  2. Step 2: Convert to fraction form
    51,858/110,824 = 110,824/x
  3. Step 3: Cross multiply
    51,858x = 110,824 × 110,824
  4. Step 4: Simplify right side
    51,858x = 12,281,958,976
  5. Step 5: Solve for x
    x = 12,281,958,976/51,858
  6. Step 6: Final answer
    x = 236,838.27

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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.