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Finding the Third Proportional to 49,254 and 108,660

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Solution

The third proportional to 49,254 and 108,660 is: 239,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,254 : 108,660 = 108,660 : x
  2. Step 2: Convert to fraction form
    49,254/108,660 = 108,660/x
  3. Step 3: Cross multiply
    49,254x = 108,660 × 108,660
  4. Step 4: Simplify right side
    49,254x = 11,806,995,600
  5. Step 5: Solve for x
    x = 11,806,995,600/49,254
  6. Step 6: Final answer
    x = 239,716.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.