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Finding the Third Proportional to 104,292.56 and 149,331.09

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Solution

The third proportional to 104,292.56 and 149,331.09 is: 213,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,292.56 : 149,331.09 = 149,331.09 : x
  2. Step 2: Convert to fraction form
    104,292.56/149,331.09 = 149,331.09/x
  3. Step 3: Cross multiply
    104,292.56x = 149,331.09 × 149,331.09
  4. Step 4: Simplify right side
    104,292.56x = 22,299,775,560.57
  5. Step 5: Solve for x
    x = 22,299,775,560.57/104,292.56
  6. Step 6: Final answer
    x = 213,819.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.