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Finding the Third Proportional to 103,824 and 225,873

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Solution

The third proportional to 103,824 and 225,873 is: 491,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,824 : 225,873 = 225,873 : x
  2. Step 2: Convert to fraction form
    103,824/225,873 = 225,873/x
  3. Step 3: Cross multiply
    103,824x = 225,873 × 225,873
  4. Step 4: Simplify right side
    103,824x = 51,018,612,129
  5. Step 5: Solve for x
    x = 51,018,612,129/103,824
  6. Step 6: Final answer
    x = 491,395.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.