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Finding the Third Proportional to 49,509 and 104,202

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Solution

The third proportional to 49,509 and 104,202 is: 219,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509 : 104,202 = 104,202 : x
  2. Step 2: Convert to fraction form
    49,509/104,202 = 104,202/x
  3. Step 3: Cross multiply
    49,509x = 104,202 × 104,202
  4. Step 4: Simplify right side
    49,509x = 10,858,056,804
  5. Step 5: Solve for x
    x = 10,858,056,804/49,509
  6. Step 6: Final answer
    x = 219,314.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.