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Finding the Third Proportional to 69,160 and 150,884

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Solution

The third proportional to 69,160 and 150,884 is: 329,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,160 : 150,884 = 150,884 : x
  2. Step 2: Convert to fraction form
    69,160/150,884 = 150,884/x
  3. Step 3: Cross multiply
    69,160x = 150,884 × 150,884
  4. Step 4: Simplify right side
    69,160x = 22,765,981,456
  5. Step 5: Solve for x
    x = 22,765,981,456/69,160
  6. Step 6: Final answer
    x = 329,178.45

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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.