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Finding the Third Proportional to 49,986 and 104,560

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Solution

The third proportional to 49,986 and 104,560 is: 218,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,986 : 104,560 = 104,560 : x
  2. Step 2: Convert to fraction form
    49,986/104,560 = 104,560/x
  3. Step 3: Cross multiply
    49,986x = 104,560 × 104,560
  4. Step 4: Simplify right side
    49,986x = 10,932,793,600
  5. Step 5: Solve for x
    x = 10,932,793,600/49,986
  6. Step 6: Final answer
    x = 218,717.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.