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Finding the Third Proportional to 57,684.94 and 87,324.19

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Solution

The third proportional to 57,684.94 and 87,324.19 is: 132,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684.94 : 87,324.19 = 87,324.19 : x
  2. Step 2: Convert to fraction form
    57,684.94/87,324.19 = 87,324.19/x
  3. Step 3: Cross multiply
    57,684.94x = 87,324.19 × 87,324.19
  4. Step 4: Simplify right side
    57,684.94x = 7,625,513,722.54
  5. Step 5: Solve for x
    x = 7,625,513,722.54/57,684.94
  6. Step 6: Final answer
    x = 132,192.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.