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Finding the Third Proportional to 84,250.50 and 128,105.25

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Solution

The third proportional to 84,250.50 and 128,105.25 is: 194,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,250.50 : 128,105.25 = 128,105.25 : x
  2. Step 2: Convert to fraction form
    84,250.50/128,105.25 = 128,105.25/x
  3. Step 3: Cross multiply
    84,250.50x = 128,105.25 × 128,105.25
  4. Step 4: Simplify right side
    84,250.50x = 16,410,955,077.56
  5. Step 5: Solve for x
    x = 16,410,955,077.56/84,250.50
  6. Step 6: Final answer
    x = 194,787.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.