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Finding the Third Proportional to 42,996.66 and 87,906.94

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Solution

The third proportional to 42,996.66 and 87,906.94 is: 179,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996.66 : 87,906.94 = 87,906.94 : x
  2. Step 2: Convert to fraction form
    42,996.66/87,906.94 = 87,906.94/x
  3. Step 3: Cross multiply
    42,996.66x = 87,906.94 × 87,906.94
  4. Step 4: Simplify right side
    42,996.66x = 7,727,629,660.63
  5. Step 5: Solve for x
    x = 7,727,629,660.63/42,996.66
  6. Step 6: Final answer
    x = 179,726.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.