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Finding the Third Proportional to 38,112 and 83,100

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Solution

The third proportional to 38,112 and 83,100 is: 181,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112 : 83,100 = 83,100 : x
  2. Step 2: Convert to fraction form
    38,112/83,100 = 83,100/x
  3. Step 3: Cross multiply
    38,112x = 83,100 × 83,100
  4. Step 4: Simplify right side
    38,112x = 6,905,610,000
  5. Step 5: Solve for x
    x = 6,905,610,000/38,112
  6. Step 6: Final answer
    x = 181,192.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.