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Finding the Third Proportional to 45,016 and 104,216

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Solution

The third proportional to 45,016 and 104,216 is: 241,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,016 : 104,216 = 104,216 : x
  2. Step 2: Convert to fraction form
    45,016/104,216 = 104,216/x
  3. Step 3: Cross multiply
    45,016x = 104,216 × 104,216
  4. Step 4: Simplify right side
    45,016x = 10,860,974,656
  5. Step 5: Solve for x
    x = 10,860,974,656/45,016
  6. Step 6: Final answer
    x = 241,269.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.