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Finding the Third Proportional to 46,072 and 100,481

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Solution

The third proportional to 46,072 and 100,481 is: 219,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072 : 100,481 = 100,481 : x
  2. Step 2: Convert to fraction form
    46,072/100,481 = 100,481/x
  3. Step 3: Cross multiply
    46,072x = 100,481 × 100,481
  4. Step 4: Simplify right side
    46,072x = 10,096,431,361
  5. Step 5: Solve for x
    x = 10,096,431,361/46,072
  6. Step 6: Final answer
    x = 219,144.63

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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.