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Finding the Third Proportional to 71,960 and 156,800

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Solution

The third proportional to 71,960 and 156,800 is: 341,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,960 : 156,800 = 156,800 : x
  2. Step 2: Convert to fraction form
    71,960/156,800 = 156,800/x
  3. Step 3: Cross multiply
    71,960x = 156,800 × 156,800
  4. Step 4: Simplify right side
    71,960x = 24,586,240,000
  5. Step 5: Solve for x
    x = 24,586,240,000/71,960
  6. Step 6: Final answer
    x = 341,665.37

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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.