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Finding the Third Proportional to 87,324 and 133,491

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Solution

The third proportional to 87,324 and 133,491 is: 204,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,324 : 133,491 = 133,491 : x
  2. Step 2: Convert to fraction form
    87,324/133,491 = 133,491/x
  3. Step 3: Cross multiply
    87,324x = 133,491 × 133,491
  4. Step 4: Simplify right side
    87,324x = 17,819,847,081
  5. Step 5: Solve for x
    x = 17,819,847,081/87,324
  6. Step 6: Final answer
    x = 204,065.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.