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Finding the Third Proportional to 72,211 and 173,951.50

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Solution

The third proportional to 72,211 and 173,951.50 is: 419,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,211 : 173,951.50 = 173,951.50 : x
  2. Step 2: Convert to fraction form
    72,211/173,951.50 = 173,951.50/x
  3. Step 3: Cross multiply
    72,211x = 173,951.50 × 173,951.50
  4. Step 4: Simplify right side
    72,211x = 30,259,124,352.25
  5. Step 5: Solve for x
    x = 30,259,124,352.25/72,211
  6. Step 6: Final answer
    x = 419,037.60

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.