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Finding the Third Proportional to 42,138.94 and 90,531.38

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Solution

The third proportional to 42,138.94 and 90,531.38 is: 194,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.94 : 90,531.38 = 90,531.38 : x
  2. Step 2: Convert to fraction form
    42,138.94/90,531.38 = 90,531.38/x
  3. Step 3: Cross multiply
    42,138.94x = 90,531.38 × 90,531.38
  4. Step 4: Simplify right side
    42,138.94x = 8,195,929,859.39
  5. Step 5: Solve for x
    x = 8,195,929,859.39/42,138.94
  6. Step 6: Final answer
    x = 194,497.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.