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Finding the Third Proportional to 38,223 and 78,147

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Solution

The third proportional to 38,223 and 78,147 is: 159,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,223 : 78,147 = 78,147 : x
  2. Step 2: Convert to fraction form
    38,223/78,147 = 78,147/x
  3. Step 3: Cross multiply
    38,223x = 78,147 × 78,147
  4. Step 4: Simplify right side
    38,223x = 6,106,953,609
  5. Step 5: Solve for x
    x = 6,106,953,609/38,223
  6. Step 6: Final answer
    x = 159,771.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.