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Finding the Third Proportional to 48,366 and 108,635

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Solution

The third proportional to 48,366 and 108,635 is: 244,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,366 : 108,635 = 108,635 : x
  2. Step 2: Convert to fraction form
    48,366/108,635 = 108,635/x
  3. Step 3: Cross multiply
    48,366x = 108,635 × 108,635
  4. Step 4: Simplify right side
    48,366x = 11,801,563,225
  5. Step 5: Solve for x
    x = 11,801,563,225/48,366
  6. Step 6: Final answer
    x = 244,005.36

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.