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Finding the Third Proportional to 49,224 and 104,361

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Solution

The third proportional to 49,224 and 104,361 is: 221,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,224 : 104,361 = 104,361 : x
  2. Step 2: Convert to fraction form
    49,224/104,361 = 104,361/x
  3. Step 3: Cross multiply
    49,224x = 104,361 × 104,361
  4. Step 4: Simplify right side
    49,224x = 10,891,218,321
  5. Step 5: Solve for x
    x = 10,891,218,321/49,224
  6. Step 6: Final answer
    x = 221,258.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.