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Finding the Third Proportional to 87,268 and 132,522

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Solution

The third proportional to 87,268 and 132,522 is: 201,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,268 : 132,522 = 132,522 : x
  2. Step 2: Convert to fraction form
    87,268/132,522 = 132,522/x
  3. Step 3: Cross multiply
    87,268x = 132,522 × 132,522
  4. Step 4: Simplify right side
    87,268x = 17,562,080,484
  5. Step 5: Solve for x
    x = 17,562,080,484/87,268
  6. Step 6: Final answer
    x = 201,243.07

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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.