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Finding the Third Proportional to 49,579.50 and 108,546

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Solution

The third proportional to 49,579.50 and 108,546 is: 237,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,579.50 : 108,546 = 108,546 : x
  2. Step 2: Convert to fraction form
    49,579.50/108,546 = 108,546/x
  3. Step 3: Cross multiply
    49,579.50x = 108,546 × 108,546
  4. Step 4: Simplify right side
    49,579.50x = 11,782,234,116
  5. Step 5: Solve for x
    x = 11,782,234,116/49,579.50
  6. Step 6: Final answer
    x = 237,643.26

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