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Finding the Third Proportional to 71,867 and 156,317.50

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Solution

The third proportional to 71,867 and 156,317.50 is: 340,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,867 : 156,317.50 = 156,317.50 : x
  2. Step 2: Convert to fraction form
    71,867/156,317.50 = 156,317.50/x
  3. Step 3: Cross multiply
    71,867x = 156,317.50 × 156,317.50
  4. Step 4: Simplify right side
    71,867x = 24,435,160,806.25
  5. Step 5: Solve for x
    x = 24,435,160,806.25/71,867
  6. Step 6: Final answer
    x = 340,005.30

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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.