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Finding the Third Proportional to 101,719.50 and 212,734

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Solution

The third proportional to 101,719.50 and 212,734 is: 444,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,719.50 : 212,734 = 212,734 : x
  2. Step 2: Convert to fraction form
    101,719.50/212,734 = 212,734/x
  3. Step 3: Cross multiply
    101,719.50x = 212,734 × 212,734
  4. Step 4: Simplify right side
    101,719.50x = 45,255,754,756
  5. Step 5: Solve for x
    x = 45,255,754,756/101,719.50
  6. Step 6: Final answer
    x = 444,907.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.