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Finding the Third Proportional to 50,538.75 and 79,276.50

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Solution

The third proportional to 50,538.75 and 79,276.50 is: 124,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.75 : 79,276.50 = 79,276.50 : x
  2. Step 2: Convert to fraction form
    50,538.75/79,276.50 = 79,276.50/x
  3. Step 3: Cross multiply
    50,538.75x = 79,276.50 × 79,276.50
  4. Step 4: Simplify right side
    50,538.75x = 6,284,763,452.25
  5. Step 5: Solve for x
    x = 6,284,763,452.25/50,538.75
  6. Step 6: Final answer
    x = 124,355.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.