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Finding the Third Proportional to 52,853.34 and 80,954.44

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Solution

The third proportional to 52,853.34 and 80,954.44 is: 123,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,853.34 : 80,954.44 = 80,954.44 : x
  2. Step 2: Convert to fraction form
    52,853.34/80,954.44 = 80,954.44/x
  3. Step 3: Cross multiply
    52,853.34x = 80,954.44 × 80,954.44
  4. Step 4: Simplify right side
    52,853.34x = 6,553,620,950.94
  5. Step 5: Solve for x
    x = 6,553,620,950.94/52,853.34
  6. Step 6: Final answer
    x = 123,996.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.