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Finding the Third Proportional to 52,774.03 and 107,697.09

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Solution

The third proportional to 52,774.03 and 107,697.09 is: 219,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,774.03 : 107,697.09 = 107,697.09 : x
  2. Step 2: Convert to fraction form
    52,774.03/107,697.09 = 107,697.09/x
  3. Step 3: Cross multiply
    52,774.03x = 107,697.09 × 107,697.09
  4. Step 4: Simplify right side
    52,774.03x = 11,598,664,002.20
  5. Step 5: Solve for x
    x = 11,598,664,002.20/52,774.03
  6. Step 6: Final answer
    x = 219,779.76

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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.