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Finding the Third Proportional to 38,064 and 80,230

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Solution

The third proportional to 38,064 and 80,230 is: 169,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 80,230 = 80,230 : x
  2. Step 2: Convert to fraction form
    38,064/80,230 = 80,230/x
  3. Step 3: Cross multiply
    38,064x = 80,230 × 80,230
  4. Step 4: Simplify right side
    38,064x = 6,436,852,900
  5. Step 5: Solve for x
    x = 6,436,852,900/38,064
  6. Step 6: Final answer
    x = 169,106.06

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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.