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Finding the Third Proportional to 48,085 and 104,918

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Solution

The third proportional to 48,085 and 104,918 is: 228,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,085 : 104,918 = 104,918 : x
  2. Step 2: Convert to fraction form
    48,085/104,918 = 104,918/x
  3. Step 3: Cross multiply
    48,085x = 104,918 × 104,918
  4. Step 4: Simplify right side
    48,085x = 11,007,786,724
  5. Step 5: Solve for x
    x = 11,007,786,724/48,085
  6. Step 6: Final answer
    x = 228,923.50

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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.