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Finding the Third Proportional to 52,818 and 76,843

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Solution

The third proportional to 52,818 and 76,843 is: 111,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,818 : 76,843 = 76,843 : x
  2. Step 2: Convert to fraction form
    52,818/76,843 = 76,843/x
  3. Step 3: Cross multiply
    52,818x = 76,843 × 76,843
  4. Step 4: Simplify right side
    52,818x = 5,904,846,649
  5. Step 5: Solve for x
    x = 5,904,846,649/52,818
  6. Step 6: Final answer
    x = 111,796.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.