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Finding the Third Proportional to 87,986 and 132,731

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Solution

The third proportional to 87,986 and 132,731 is: 200,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,986 : 132,731 = 132,731 : x
  2. Step 2: Convert to fraction form
    87,986/132,731 = 132,731/x
  3. Step 3: Cross multiply
    87,986x = 132,731 × 132,731
  4. Step 4: Simplify right side
    87,986x = 17,617,518,361
  5. Step 5: Solve for x
    x = 17,617,518,361/87,986
  6. Step 6: Final answer
    x = 200,230.93

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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.