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Finding the Third Proportional to 87,786 and 132,453

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Solution

The third proportional to 87,786 and 132,453 is: 199,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,786 : 132,453 = 132,453 : x
  2. Step 2: Convert to fraction form
    87,786/132,453 = 132,453/x
  3. Step 3: Cross multiply
    87,786x = 132,453 × 132,453
  4. Step 4: Simplify right side
    87,786x = 17,543,797,209
  5. Step 5: Solve for x
    x = 17,543,797,209/87,786
  6. Step 6: Final answer
    x = 199,847.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.