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Finding the Third Proportional to 56,019 and 120,951.50

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Solution

The third proportional to 56,019 and 120,951.50 is: 261,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,019 : 120,951.50 = 120,951.50 : x
  2. Step 2: Convert to fraction form
    56,019/120,951.50 = 120,951.50/x
  3. Step 3: Cross multiply
    56,019x = 120,951.50 × 120,951.50
  4. Step 4: Simplify right side
    56,019x = 14,629,265,352.25
  5. Step 5: Solve for x
    x = 14,629,265,352.25/56,019
  6. Step 6: Final answer
    x = 261,148.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.