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Finding the Third Proportional to 48,016 and 104,642

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Solution

The third proportional to 48,016 and 104,642 is: 228,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,016 : 104,642 = 104,642 : x
  2. Step 2: Convert to fraction form
    48,016/104,642 = 104,642/x
  3. Step 3: Cross multiply
    48,016x = 104,642 × 104,642
  4. Step 4: Simplify right side
    48,016x = 10,949,948,164
  5. Step 5: Solve for x
    x = 10,949,948,164/48,016
  6. Step 6: Final answer
    x = 228,047.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.