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Finding the Third Proportional to 87,000 and 132,324

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Solution

The third proportional to 87,000 and 132,324 is: 201,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,000 : 132,324 = 132,324 : x
  2. Step 2: Convert to fraction form
    87,000/132,324 = 132,324/x
  3. Step 3: Cross multiply
    87,000x = 132,324 × 132,324
  4. Step 4: Simplify right side
    87,000x = 17,509,640,976
  5. Step 5: Solve for x
    x = 17,509,640,976/87,000
  6. Step 6: Final answer
    x = 201,260.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.