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Finding the Third Proportional to 49,434.50 and 116,645.75

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Solution

The third proportional to 49,434.50 and 116,645.75 is: 275,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434.50 : 116,645.75 = 116,645.75 : x
  2. Step 2: Convert to fraction form
    49,434.50/116,645.75 = 116,645.75/x
  3. Step 3: Cross multiply
    49,434.50x = 116,645.75 × 116,645.75
  4. Step 4: Simplify right side
    49,434.50x = 13,606,230,993.06
  5. Step 5: Solve for x
    x = 13,606,230,993.06/49,434.50
  6. Step 6: Final answer
    x = 275,237.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.