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Finding the Third Proportional to 49,584 and 108,192

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Solution

The third proportional to 49,584 and 108,192 is: 236,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,584 : 108,192 = 108,192 : x
  2. Step 2: Convert to fraction form
    49,584/108,192 = 108,192/x
  3. Step 3: Cross multiply
    49,584x = 108,192 × 108,192
  4. Step 4: Simplify right side
    49,584x = 11,705,508,864
  5. Step 5: Solve for x
    x = 11,705,508,864/49,584
  6. Step 6: Final answer
    x = 236,074.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.