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Finding the Third Proportional to 71,647.03 and 154,380.94

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Solution

The third proportional to 71,647.03 and 154,380.94 is: 332,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647.03 : 154,380.94 = 154,380.94 : x
  2. Step 2: Convert to fraction form
    71,647.03/154,380.94 = 154,380.94/x
  3. Step 3: Cross multiply
    71,647.03x = 154,380.94 × 154,380.94
  4. Step 4: Simplify right side
    71,647.03x = 23,833,473,863.38
  5. Step 5: Solve for x
    x = 23,833,473,863.38/71,647.03
  6. Step 6: Final answer
    x = 332,651.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.