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Finding the Third Proportional to 63,783 and 132,165

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Solution

The third proportional to 63,783 and 132,165 is: 273,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,783 : 132,165 = 132,165 : x
  2. Step 2: Convert to fraction form
    63,783/132,165 = 132,165/x
  3. Step 3: Cross multiply
    63,783x = 132,165 × 132,165
  4. Step 4: Simplify right side
    63,783x = 17,467,587,225
  5. Step 5: Solve for x
    x = 17,467,587,225/63,783
  6. Step 6: Final answer
    x = 273,859.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.