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Finding the Third Proportional to 38,060 and 80,223

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Solution

The third proportional to 38,060 and 80,223 is: 169,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,060 : 80,223 = 80,223 : x
  2. Step 2: Convert to fraction form
    38,060/80,223 = 80,223/x
  3. Step 3: Cross multiply
    38,060x = 80,223 × 80,223
  4. Step 4: Simplify right side
    38,060x = 6,435,729,729
  5. Step 5: Solve for x
    x = 6,435,729,729/38,060
  6. Step 6: Final answer
    x = 169,094.32

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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.