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Finding the Third Proportional to 80,611.45 and 175,028.34

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Solution

The third proportional to 80,611.45 and 175,028.34 is: 380,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,611.45 : 175,028.34 = 175,028.34 : x
  2. Step 2: Convert to fraction form
    80,611.45/175,028.34 = 175,028.34/x
  3. Step 3: Cross multiply
    80,611.45x = 175,028.34 × 175,028.34
  4. Step 4: Simplify right side
    80,611.45x = 30,634,921,115.87
  5. Step 5: Solve for x
    x = 30,634,921,115.87/80,611.45
  6. Step 6: Final answer
    x = 380,031.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.