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Finding the Third Proportional to 103,638 and 225,726

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Solution

The third proportional to 103,638 and 225,726 is: 491,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 225,726 = 225,726 : x
  2. Step 2: Convert to fraction form
    103,638/225,726 = 225,726/x
  3. Step 3: Cross multiply
    103,638x = 225,726 × 225,726
  4. Step 4: Simplify right side
    103,638x = 50,952,227,076
  5. Step 5: Solve for x
    x = 50,952,227,076/103,638
  6. Step 6: Final answer
    x = 491,636.53

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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.