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Finding the Third Proportional to 49,370 and 100,576

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Solution

The third proportional to 49,370 and 100,576 is: 204,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,370 : 100,576 = 100,576 : x
  2. Step 2: Convert to fraction form
    49,370/100,576 = 100,576/x
  3. Step 3: Cross multiply
    49,370x = 100,576 × 100,576
  4. Step 4: Simplify right side
    49,370x = 10,115,531,776
  5. Step 5: Solve for x
    x = 10,115,531,776/49,370
  6. Step 6: Final answer
    x = 204,892.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.