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Finding the Third Proportional to 45,078 and 104,353

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Solution

The third proportional to 45,078 and 104,353 is: 241,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,078 : 104,353 = 104,353 : x
  2. Step 2: Convert to fraction form
    45,078/104,353 = 104,353/x
  3. Step 3: Cross multiply
    45,078x = 104,353 × 104,353
  4. Step 4: Simplify right side
    45,078x = 10,889,548,609
  5. Step 5: Solve for x
    x = 10,889,548,609/45,078
  6. Step 6: Final answer
    x = 241,571.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.