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Finding the Third Proportional to 80,424 and 169,920

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Solution

The third proportional to 80,424 and 169,920 is: 359,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,424 : 169,920 = 169,920 : x
  2. Step 2: Convert to fraction form
    80,424/169,920 = 169,920/x
  3. Step 3: Cross multiply
    80,424x = 169,920 × 169,920
  4. Step 4: Simplify right side
    80,424x = 28,872,806,400
  5. Step 5: Solve for x
    x = 28,872,806,400/80,424
  6. Step 6: Final answer
    x = 359,007.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.