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Finding the Third Proportional to 69,446 and 143,815

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Solution

The third proportional to 69,446 and 143,815 is: 297,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,446 : 143,815 = 143,815 : x
  2. Step 2: Convert to fraction form
    69,446/143,815 = 143,815/x
  3. Step 3: Cross multiply
    69,446x = 143,815 × 143,815
  4. Step 4: Simplify right side
    69,446x = 20,682,754,225
  5. Step 5: Solve for x
    x = 20,682,754,225/69,446
  6. Step 6: Final answer
    x = 297,824.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.