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Finding the Third Proportional to 57,764.25 and 85,799.25

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Solution

The third proportional to 57,764.25 and 85,799.25 is: 127,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.25 : 85,799.25 = 85,799.25 : x
  2. Step 2: Convert to fraction form
    57,764.25/85,799.25 = 85,799.25/x
  3. Step 3: Cross multiply
    57,764.25x = 85,799.25 × 85,799.25
  4. Step 4: Simplify right side
    57,764.25x = 7,361,511,300.56
  5. Step 5: Solve for x
    x = 7,361,511,300.56/57,764.25
  6. Step 6: Final answer
    x = 127,440.61

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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.