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Finding the Third Proportional to 52,770 and 79,027

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Solution

The third proportional to 52,770 and 79,027 is: 118,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,770 : 79,027 = 79,027 : x
  2. Step 2: Convert to fraction form
    52,770/79,027 = 79,027/x
  3. Step 3: Cross multiply
    52,770x = 79,027 × 79,027
  4. Step 4: Simplify right side
    52,770x = 6,245,266,729
  5. Step 5: Solve for x
    x = 6,245,266,729/52,770
  6. Step 6: Final answer
    x = 118,348.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.