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Finding the Third Proportional to 55,296 and 84,800

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Solution

The third proportional to 55,296 and 84,800 is: 130,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296 : 84,800 = 84,800 : x
  2. Step 2: Convert to fraction form
    55,296/84,800 = 84,800/x
  3. Step 3: Cross multiply
    55,296x = 84,800 × 84,800
  4. Step 4: Simplify right side
    55,296x = 7,191,040,000
  5. Step 5: Solve for x
    x = 7,191,040,000/55,296
  6. Step 6: Final answer
    x = 130,046.30

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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.