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Finding the Third Proportional to 38,274.56 and 83,121.56

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Solution

The third proportional to 38,274.56 and 83,121.56 is: 180,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274.56 : 83,121.56 = 83,121.56 : x
  2. Step 2: Convert to fraction form
    38,274.56/83,121.56 = 83,121.56/x
  3. Step 3: Cross multiply
    38,274.56x = 83,121.56 × 83,121.56
  4. Step 4: Simplify right side
    38,274.56x = 6,909,194,152.44
  5. Step 5: Solve for x
    x = 6,909,194,152.44/38,274.56
  6. Step 6: Final answer
    x = 180,516.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.