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Finding the Third Proportional to 49,473 and 100,674

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Solution

The third proportional to 49,473 and 100,674 is: 204,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,473 : 100,674 = 100,674 : x
  2. Step 2: Convert to fraction form
    49,473/100,674 = 100,674/x
  3. Step 3: Cross multiply
    49,473x = 100,674 × 100,674
  4. Step 4: Simplify right side
    49,473x = 10,135,254,276
  5. Step 5: Solve for x
    x = 10,135,254,276/49,473
  6. Step 6: Final answer
    x = 204,864.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.