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Finding the Third Proportional to 49,912.03 and 108,123.19

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Solution

The third proportional to 49,912.03 and 108,123.19 is: 234,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,912.03 : 108,123.19 = 108,123.19 : x
  2. Step 2: Convert to fraction form
    49,912.03/108,123.19 = 108,123.19/x
  3. Step 3: Cross multiply
    49,912.03x = 108,123.19 × 108,123.19
  4. Step 4: Simplify right side
    49,912.03x = 11,690,623,675.16
  5. Step 5: Solve for x
    x = 11,690,623,675.16/49,912.03
  6. Step 6: Final answer
    x = 234,224.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.