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Finding the Third Proportional to 73,082 and 157,821

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Solution

The third proportional to 73,082 and 157,821 is: 340,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082 : 157,821 = 157,821 : x
  2. Step 2: Convert to fraction form
    73,082/157,821 = 157,821/x
  3. Step 3: Cross multiply
    73,082x = 157,821 × 157,821
  4. Step 4: Simplify right side
    73,082x = 24,907,468,041
  5. Step 5: Solve for x
    x = 24,907,468,041/73,082
  6. Step 6: Final answer
    x = 340,815.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.