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Finding the Third Proportional to 72,351 and 155,799

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Solution

The third proportional to 72,351 and 155,799 is: 335,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,351 : 155,799 = 155,799 : x
  2. Step 2: Convert to fraction form
    72,351/155,799 = 155,799/x
  3. Step 3: Cross multiply
    72,351x = 155,799 × 155,799
  4. Step 4: Simplify right side
    72,351x = 24,273,328,401
  5. Step 5: Solve for x
    x = 24,273,328,401/72,351
  6. Step 6: Final answer
    x = 335,494.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.