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Finding the Third Proportional to 48,676 and 104,623

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Solution

The third proportional to 48,676 and 104,623 is: 224,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,676 : 104,623 = 104,623 : x
  2. Step 2: Convert to fraction form
    48,676/104,623 = 104,623/x
  3. Step 3: Cross multiply
    48,676x = 104,623 × 104,623
  4. Step 4: Simplify right side
    48,676x = 10,945,972,129
  5. Step 5: Solve for x
    x = 10,945,972,129/48,676
  6. Step 6: Final answer
    x = 224,874.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.