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Finding the Third Proportional to 80,271 and 128,223

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Solution

The third proportional to 80,271 and 128,223 is: 204,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,271 : 128,223 = 128,223 : x
  2. Step 2: Convert to fraction form
    80,271/128,223 = 128,223/x
  3. Step 3: Cross multiply
    80,271x = 128,223 × 128,223
  4. Step 4: Simplify right side
    80,271x = 16,441,137,729
  5. Step 5: Solve for x
    x = 16,441,137,729/80,271
  6. Step 6: Final answer
    x = 204,820.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.