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Finding the Third Proportional to 45,005 and 104,190

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Solution

The third proportional to 45,005 and 104,190 is: 241,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,005 : 104,190 = 104,190 : x
  2. Step 2: Convert to fraction form
    45,005/104,190 = 104,190/x
  3. Step 3: Cross multiply
    45,005x = 104,190 × 104,190
  4. Step 4: Simplify right side
    45,005x = 10,855,556,100
  5. Step 5: Solve for x
    x = 10,855,556,100/45,005
  6. Step 6: Final answer
    x = 241,207.78

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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.