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Finding the Third Proportional to 87,633 and 189,324

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Solution

The third proportional to 87,633 and 189,324 is: 409,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,633 : 189,324 = 189,324 : x
  2. Step 2: Convert to fraction form
    87,633/189,324 = 189,324/x
  3. Step 3: Cross multiply
    87,633x = 189,324 × 189,324
  4. Step 4: Simplify right side
    87,633x = 35,843,576,976
  5. Step 5: Solve for x
    x = 35,843,576,976/87,633
  6. Step 6: Final answer
    x = 409,019.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.