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Finding the Third Proportional to 42,760.41 and 88,231.78

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Solution

The third proportional to 42,760.41 and 88,231.78 is: 182,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,760.41 : 88,231.78 = 88,231.78 : x
  2. Step 2: Convert to fraction form
    42,760.41/88,231.78 = 88,231.78/x
  3. Step 3: Cross multiply
    42,760.41x = 88,231.78 × 88,231.78
  4. Step 4: Simplify right side
    42,760.41x = 7,784,847,222.55
  5. Step 5: Solve for x
    x = 7,784,847,222.55/42,760.41
  6. Step 6: Final answer
    x = 182,057.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.