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Finding the Third Proportional to 48,674 and 99,652

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Solution

The third proportional to 48,674 and 99,652 is: 204,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,674 : 99,652 = 99,652 : x
  2. Step 2: Convert to fraction form
    48,674/99,652 = 99,652/x
  3. Step 3: Cross multiply
    48,674x = 99,652 × 99,652
  4. Step 4: Simplify right side
    48,674x = 9,930,521,104
  5. Step 5: Solve for x
    x = 9,930,521,104/48,674
  6. Step 6: Final answer
    x = 204,021.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.