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Finding the Third Proportional to 49,729.50 and 78,745.50

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Solution

The third proportional to 49,729.50 and 78,745.50 is: 124,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,729.50 : 78,745.50 = 78,745.50 : x
  2. Step 2: Convert to fraction form
    49,729.50/78,745.50 = 78,745.50/x
  3. Step 3: Cross multiply
    49,729.50x = 78,745.50 × 78,745.50
  4. Step 4: Simplify right side
    49,729.50x = 6,200,853,770.25
  5. Step 5: Solve for x
    x = 6,200,853,770.25/49,729.50
  6. Step 6: Final answer
    x = 124,691.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.