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Finding the Third Proportional to 45,388 and 104,182

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Solution

The third proportional to 45,388 and 104,182 is: 239,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388 : 104,182 = 104,182 : x
  2. Step 2: Convert to fraction form
    45,388/104,182 = 104,182/x
  3. Step 3: Cross multiply
    45,388x = 104,182 × 104,182
  4. Step 4: Simplify right side
    45,388x = 10,853,889,124
  5. Step 5: Solve for x
    x = 10,853,889,124/45,388
  6. Step 6: Final answer
    x = 239,135.66

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.