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Finding the Third Proportional to 48,864 and 104,640

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Solution

The third proportional to 48,864 and 104,640 is: 224,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864 : 104,640 = 104,640 : x
  2. Step 2: Convert to fraction form
    48,864/104,640 = 104,640/x
  3. Step 3: Cross multiply
    48,864x = 104,640 × 104,640
  4. Step 4: Simplify right side
    48,864x = 10,949,529,600
  5. Step 5: Solve for x
    x = 10,949,529,600/48,864
  6. Step 6: Final answer
    x = 224,081.73

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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.