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Finding the Third Proportional to 49,389.75 and 108,006.75

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Solution

The third proportional to 49,389.75 and 108,006.75 is: 236,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,389.75 : 108,006.75 = 108,006.75 : x
  2. Step 2: Convert to fraction form
    49,389.75/108,006.75 = 108,006.75/x
  3. Step 3: Cross multiply
    49,389.75x = 108,006.75 × 108,006.75
  4. Step 4: Simplify right side
    49,389.75x = 11,665,458,045.56
  5. Step 5: Solve for x
    x = 11,665,458,045.56/49,389.75
  6. Step 6: Final answer
    x = 236,191.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.