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Finding the Third Proportional to 87,422 and 132,454

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Solution

The third proportional to 87,422 and 132,454 is: 200,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,422 : 132,454 = 132,454 : x
  2. Step 2: Convert to fraction form
    87,422/132,454 = 132,454/x
  3. Step 3: Cross multiply
    87,422x = 132,454 × 132,454
  4. Step 4: Simplify right side
    87,422x = 17,544,062,116
  5. Step 5: Solve for x
    x = 17,544,062,116/87,422
  6. Step 6: Final answer
    x = 200,682.46

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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.