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Finding the Third Proportional to 49,768 and 108,285

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Solution

The third proportional to 49,768 and 108,285 is: 235,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,768 : 108,285 = 108,285 : x
  2. Step 2: Convert to fraction form
    49,768/108,285 = 108,285/x
  3. Step 3: Cross multiply
    49,768x = 108,285 × 108,285
  4. Step 4: Simplify right side
    49,768x = 11,725,641,225
  5. Step 5: Solve for x
    x = 11,725,641,225/49,768
  6. Step 6: Final answer
    x = 235,606.04

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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.