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Finding the Third Proportional to 57,240.38 and 84,205.13

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Solution

The third proportional to 57,240.38 and 84,205.13 is: 123,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240.38 : 84,205.13 = 84,205.13 : x
  2. Step 2: Convert to fraction form
    57,240.38/84,205.13 = 84,205.13/x
  3. Step 3: Cross multiply
    57,240.38x = 84,205.13 × 84,205.13
  4. Step 4: Simplify right side
    57,240.38x = 7,090,503,076.27
  5. Step 5: Solve for x
    x = 7,090,503,076.27/57,240.38
  6. Step 6: Final answer
    x = 123,872.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.