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Finding the Third Proportional to 71,766.42 and 152,604.42

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Solution

The third proportional to 71,766.42 and 152,604.42 is: 324,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.42 : 152,604.42 = 152,604.42 : x
  2. Step 2: Convert to fraction form
    71,766.42/152,604.42 = 152,604.42/x
  3. Step 3: Cross multiply
    71,766.42x = 152,604.42 × 152,604.42
  4. Step 4: Simplify right side
    71,766.42x = 23,288,109,575.80
  5. Step 5: Solve for x
    x = 23,288,109,575.80/71,766.42
  6. Step 6: Final answer
    x = 324,498.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.