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Finding the Third Proportional to 124,477.50 and 188,595

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Solution

The third proportional to 124,477.50 and 188,595 is: 285,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,477.50 : 188,595 = 188,595 : x
  2. Step 2: Convert to fraction form
    124,477.50/188,595 = 188,595/x
  3. Step 3: Cross multiply
    124,477.50x = 188,595 × 188,595
  4. Step 4: Simplify right side
    124,477.50x = 35,568,074,025
  5. Step 5: Solve for x
    x = 35,568,074,025/124,477.50
  6. Step 6: Final answer
    x = 285,738.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.