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Finding the Third Proportional to 49,595 and 74,500

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Solution

The third proportional to 49,595 and 74,500 is: 111,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,595 : 74,500 = 74,500 : x
  2. Step 2: Convert to fraction form
    49,595/74,500 = 74,500/x
  3. Step 3: Cross multiply
    49,595x = 74,500 × 74,500
  4. Step 4: Simplify right side
    49,595x = 5,550,250,000
  5. Step 5: Solve for x
    x = 5,550,250,000/49,595
  6. Step 6: Final answer
    x = 111,911.48

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