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Finding the Third Proportional to 48,828 and 103,974

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Solution

The third proportional to 48,828 and 103,974 is: 221,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,828 : 103,974 = 103,974 : x
  2. Step 2: Convert to fraction form
    48,828/103,974 = 103,974/x
  3. Step 3: Cross multiply
    48,828x = 103,974 × 103,974
  4. Step 4: Simplify right side
    48,828x = 10,810,592,676
  5. Step 5: Solve for x
    x = 10,810,592,676/48,828
  6. Step 6: Final answer
    x = 221,401.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.