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Finding the Third Proportional to 71,104.50 and 144,672.75

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Solution

The third proportional to 71,104.50 and 144,672.75 is: 294,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,104.50 : 144,672.75 = 144,672.75 : x
  2. Step 2: Convert to fraction form
    71,104.50/144,672.75 = 144,672.75/x
  3. Step 3: Cross multiply
    71,104.50x = 144,672.75 × 144,672.75
  4. Step 4: Simplify right side
    71,104.50x = 20,930,204,592.56
  5. Step 5: Solve for x
    x = 20,930,204,592.56/71,104.50
  6. Step 6: Final answer
    x = 294,358.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.