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Finding the Third Proportional to 50,890.50 and 77,199.75

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Solution

The third proportional to 50,890.50 and 77,199.75 is: 117,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,890.50 : 77,199.75 = 77,199.75 : x
  2. Step 2: Convert to fraction form
    50,890.50/77,199.75 = 77,199.75/x
  3. Step 3: Cross multiply
    50,890.50x = 77,199.75 × 77,199.75
  4. Step 4: Simplify right side
    50,890.50x = 5,959,801,400.06
  5. Step 5: Solve for x
    x = 5,959,801,400.06/50,890.50
  6. Step 6: Final answer
    x = 117,110.29

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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.