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Finding the Third Proportional to 71,440 and 156,990

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Solution

The third proportional to 71,440 and 156,990 is: 344,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440 : 156,990 = 156,990 : x
  2. Step 2: Convert to fraction form
    71,440/156,990 = 156,990/x
  3. Step 3: Cross multiply
    71,440x = 156,990 × 156,990
  4. Step 4: Simplify right side
    71,440x = 24,645,860,100
  5. Step 5: Solve for x
    x = 24,645,860,100/71,440
  6. Step 6: Final answer
    x = 344,986.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.