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Finding the Third Proportional to 48,728 and 104,368

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Solution

The third proportional to 48,728 and 104,368 is: 223,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,728 : 104,368 = 104,368 : x
  2. Step 2: Convert to fraction form
    48,728/104,368 = 104,368/x
  3. Step 3: Cross multiply
    48,728x = 104,368 × 104,368
  4. Step 4: Simplify right side
    48,728x = 10,892,679,424
  5. Step 5: Solve for x
    x = 10,892,679,424/48,728
  6. Step 6: Final answer
    x = 223,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.