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Finding the Third Proportional to 48,275 and 100,962

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Solution

The third proportional to 48,275 and 100,962 is: 211,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,275 : 100,962 = 100,962 : x
  2. Step 2: Convert to fraction form
    48,275/100,962 = 100,962/x
  3. Step 3: Cross multiply
    48,275x = 100,962 × 100,962
  4. Step 4: Simplify right side
    48,275x = 10,193,325,444
  5. Step 5: Solve for x
    x = 10,193,325,444/48,275
  6. Step 6: Final answer
    x = 211,151.23

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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.