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Finding the Third Proportional to 48,928 and 104,768

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Solution

The third proportional to 48,928 and 104,768 is: 224,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,928 : 104,768 = 104,768 : x
  2. Step 2: Convert to fraction form
    48,928/104,768 = 104,768/x
  3. Step 3: Cross multiply
    48,928x = 104,768 × 104,768
  4. Step 4: Simplify right side
    48,928x = 10,976,333,824
  5. Step 5: Solve for x
    x = 10,976,333,824/48,928
  6. Step 6: Final answer
    x = 224,336.45

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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.