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Finding the Third Proportional to 69,292 and 150,732

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Solution

The third proportional to 69,292 and 150,732 is: 327,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,292 : 150,732 = 150,732 : x
  2. Step 2: Convert to fraction form
    69,292/150,732 = 150,732/x
  3. Step 3: Cross multiply
    69,292x = 150,732 × 150,732
  4. Step 4: Simplify right side
    69,292x = 22,720,135,824
  5. Step 5: Solve for x
    x = 22,720,135,824/69,292
  6. Step 6: Final answer
    x = 327,889.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.