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Finding the Third Proportional to 48,168 and 71,836

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Solution

The third proportional to 48,168 and 71,836 is: 107,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,168 : 71,836 = 71,836 : x
  2. Step 2: Convert to fraction form
    48,168/71,836 = 71,836/x
  3. Step 3: Cross multiply
    48,168x = 71,836 × 71,836
  4. Step 4: Simplify right side
    48,168x = 5,160,410,896
  5. Step 5: Solve for x
    x = 5,160,410,896/48,168
  6. Step 6: Final answer
    x = 107,133.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.