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Finding the Third Proportional to 71,880.75 and 156,814.50

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Solution

The third proportional to 71,880.75 and 156,814.50 is: 342,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,880.75 : 156,814.50 = 156,814.50 : x
  2. Step 2: Convert to fraction form
    71,880.75/156,814.50 = 156,814.50/x
  3. Step 3: Cross multiply
    71,880.75x = 156,814.50 × 156,814.50
  4. Step 4: Simplify right side
    71,880.75x = 24,590,787,410.25
  5. Step 5: Solve for x
    x = 24,590,787,410.25/71,880.75
  6. Step 6: Final answer
    x = 342,105.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.