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Finding the Third Proportional to 57,445.88 and 82,739.81

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Solution

The third proportional to 57,445.88 and 82,739.81 is: 119,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,445.88 : 82,739.81 = 82,739.81 : x
  2. Step 2: Convert to fraction form
    57,445.88/82,739.81 = 82,739.81/x
  3. Step 3: Cross multiply
    57,445.88x = 82,739.81 × 82,739.81
  4. Step 4: Simplify right side
    57,445.88x = 6,845,876,572.54
  5. Step 5: Solve for x
    x = 6,845,876,572.54/57,445.88
  6. Step 6: Final answer
    x = 119,170.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.