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Finding the Third Proportional to 49,269.75 and 108,077.25

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Solution

The third proportional to 49,269.75 and 108,077.25 is: 237,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,269.75 : 108,077.25 = 108,077.25 : x
  2. Step 2: Convert to fraction form
    49,269.75/108,077.25 = 108,077.25/x
  3. Step 3: Cross multiply
    49,269.75x = 108,077.25 × 108,077.25
  4. Step 4: Simplify right side
    49,269.75x = 11,680,691,967.56
  5. Step 5: Solve for x
    x = 11,680,691,967.56/49,269.75
  6. Step 6: Final answer
    x = 237,076.34

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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.