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Finding the Third Proportional to 71,503 and 155,456

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Solution

The third proportional to 71,503 and 155,456 is: 337,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,503 : 155,456 = 155,456 : x
  2. Step 2: Convert to fraction form
    71,503/155,456 = 155,456/x
  3. Step 3: Cross multiply
    71,503x = 155,456 × 155,456
  4. Step 4: Simplify right side
    71,503x = 24,166,567,936
  5. Step 5: Solve for x
    x = 24,166,567,936/71,503
  6. Step 6: Final answer
    x = 337,979.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.