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Finding the Third Proportional to 38,222 and 79,144

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Solution

The third proportional to 38,222 and 79,144 is: 163,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,222 : 79,144 = 79,144 : x
  2. Step 2: Convert to fraction form
    38,222/79,144 = 79,144/x
  3. Step 3: Cross multiply
    38,222x = 79,144 × 79,144
  4. Step 4: Simplify right side
    38,222x = 6,263,772,736
  5. Step 5: Solve for x
    x = 6,263,772,736/38,222
  6. Step 6: Final answer
    x = 163,878.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.