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Finding the Third Proportional to 55,102.50 and 81,843.75

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Solution

The third proportional to 55,102.50 and 81,843.75 is: 121,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.50 : 81,843.75 = 81,843.75 : x
  2. Step 2: Convert to fraction form
    55,102.50/81,843.75 = 81,843.75/x
  3. Step 3: Cross multiply
    55,102.50x = 81,843.75 × 81,843.75
  4. Step 4: Simplify right side
    55,102.50x = 6,698,399,414.06
  5. Step 5: Solve for x
    x = 6,698,399,414.06/55,102.50
  6. Step 6: Final answer
    x = 121,562.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.