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Finding the Third Proportional to 38,094 and 88,176

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Solution

The third proportional to 38,094 and 88,176 is: 204,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094 : 88,176 = 88,176 : x
  2. Step 2: Convert to fraction form
    38,094/88,176 = 88,176/x
  3. Step 3: Cross multiply
    38,094x = 88,176 × 88,176
  4. Step 4: Simplify right side
    38,094x = 7,775,006,976
  5. Step 5: Solve for x
    x = 7,775,006,976/38,094
  6. Step 6: Final answer
    x = 204,100.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.