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Finding the Third Proportional to 52,799 and 107,740

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Solution

The third proportional to 52,799 and 107,740 is: 219,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,799 : 107,740 = 107,740 : x
  2. Step 2: Convert to fraction form
    52,799/107,740 = 107,740/x
  3. Step 3: Cross multiply
    52,799x = 107,740 × 107,740
  4. Step 4: Simplify right side
    52,799x = 11,607,907,600
  5. Step 5: Solve for x
    x = 11,607,907,600/52,799
  6. Step 6: Final answer
    x = 219,850.90

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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.