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Finding the Third Proportional to 69,504 and 150,022

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Solution

The third proportional to 69,504 and 150,022 is: 323,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,504 : 150,022 = 150,022 : x
  2. Step 2: Convert to fraction form
    69,504/150,022 = 150,022/x
  3. Step 3: Cross multiply
    69,504x = 150,022 × 150,022
  4. Step 4: Simplify right side
    69,504x = 22,506,600,484
  5. Step 5: Solve for x
    x = 22,506,600,484/69,504
  6. Step 6: Final answer
    x = 323,817.34

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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.