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Finding the Third Proportional to 48,406 and 101,168

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Solution

The third proportional to 48,406 and 101,168 is: 211,439.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406 : 101,168 = 101,168 : x
  2. Step 2: Convert to fraction form
    48,406/101,168 = 101,168/x
  3. Step 3: Cross multiply
    48,406x = 101,168 × 101,168
  4. Step 4: Simplify right side
    48,406x = 10,234,964,224
  5. Step 5: Solve for x
    x = 10,234,964,224/48,406
  6. Step 6: Final answer
    x = 211,439.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.