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Finding the Third Proportional to 87,232 and 134,244

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Solution

The third proportional to 87,232 and 134,244 is: 206,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,232 : 134,244 = 134,244 : x
  2. Step 2: Convert to fraction form
    87,232/134,244 = 134,244/x
  3. Step 3: Cross multiply
    87,232x = 134,244 × 134,244
  4. Step 4: Simplify right side
    87,232x = 18,021,451,536
  5. Step 5: Solve for x
    x = 18,021,451,536/87,232
  6. Step 6: Final answer
    x = 206,592.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.