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Finding the Third Proportional to 57,172.50 and 76,379.63

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Solution

The third proportional to 57,172.50 and 76,379.63 is: 102,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,172.50 : 76,379.63 = 76,379.63 : x
  2. Step 2: Convert to fraction form
    57,172.50/76,379.63 = 76,379.63/x
  3. Step 3: Cross multiply
    57,172.50x = 76,379.63 × 76,379.63
  4. Step 4: Simplify right side
    57,172.50x = 5,833,847,115.14
  5. Step 5: Solve for x
    x = 5,833,847,115.14/57,172.50
  6. Step 6: Final answer
    x = 102,039.39

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.