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Finding the Third Proportional to 73,085 and 157,049

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Solution

The third proportional to 73,085 and 157,049 is: 337,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,085 : 157,049 = 157,049 : x
  2. Step 2: Convert to fraction form
    73,085/157,049 = 157,049/x
  3. Step 3: Cross multiply
    73,085x = 157,049 × 157,049
  4. Step 4: Simplify right side
    73,085x = 24,664,388,401
  5. Step 5: Solve for x
    x = 24,664,388,401/73,085
  6. Step 6: Final answer
    x = 337,475.38

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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.