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Finding the Third Proportional to 128,424 and 170,451

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Solution

The third proportional to 128,424 and 170,451 is: 226,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,424 : 170,451 = 170,451 : x
  2. Step 2: Convert to fraction form
    128,424/170,451 = 170,451/x
  3. Step 3: Cross multiply
    128,424x = 170,451 × 170,451
  4. Step 4: Simplify right side
    128,424x = 29,053,543,401
  5. Step 5: Solve for x
    x = 29,053,543,401/128,424
  6. Step 6: Final answer
    x = 226,231.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.