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Finding the Third Proportional to 49,957.13 and 104,532.75

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Solution

The third proportional to 49,957.13 and 104,532.75 is: 218,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957.13 : 104,532.75 = 104,532.75 : x
  2. Step 2: Convert to fraction form
    49,957.13/104,532.75 = 104,532.75/x
  3. Step 3: Cross multiply
    49,957.13x = 104,532.75 × 104,532.75
  4. Step 4: Simplify right side
    49,957.13x = 10,927,095,822.56
  5. Step 5: Solve for x
    x = 10,927,095,822.56/49,957.13
  6. Step 6: Final answer
    x = 218,729.48

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