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Finding the Third Proportional to 47,638 and 104,492

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Solution

The third proportional to 47,638 and 104,492 is: 229,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,638 : 104,492 = 104,492 : x
  2. Step 2: Convert to fraction form
    47,638/104,492 = 104,492/x
  3. Step 3: Cross multiply
    47,638x = 104,492 × 104,492
  4. Step 4: Simplify right side
    47,638x = 10,918,578,064
  5. Step 5: Solve for x
    x = 10,918,578,064/47,638
  6. Step 6: Final answer
    x = 229,198.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.