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Finding the Third Proportional to 103,851 and 225,927

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Solution

The third proportional to 103,851 and 225,927 is: 491,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,851 : 225,927 = 225,927 : x
  2. Step 2: Convert to fraction form
    103,851/225,927 = 225,927/x
  3. Step 3: Cross multiply
    103,851x = 225,927 × 225,927
  4. Step 4: Simplify right side
    103,851x = 51,043,009,329
  5. Step 5: Solve for x
    x = 51,043,009,329/103,851
  6. Step 6: Final answer
    x = 491,502.34

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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.