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Finding the Third Proportional to 69,564 and 150,000

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Solution

The third proportional to 69,564 and 150,000 is: 323,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,564 : 150,000 = 150,000 : x
  2. Step 2: Convert to fraction form
    69,564/150,000 = 150,000/x
  3. Step 3: Cross multiply
    69,564x = 150,000 × 150,000
  4. Step 4: Simplify right side
    69,564x = 22,500,000,000
  5. Step 5: Solve for x
    x = 22,500,000,000/69,564
  6. Step 6: Final answer
    x = 323,443.16

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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.