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Finding the Third Proportional to 57,243.38 and 84,209.63

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Solution

The third proportional to 57,243.38 and 84,209.63 is: 123,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.38 : 84,209.63 = 84,209.63 : x
  2. Step 2: Convert to fraction form
    57,243.38/84,209.63 = 84,209.63/x
  3. Step 3: Cross multiply
    57,243.38x = 84,209.63 × 84,209.63
  4. Step 4: Simplify right side
    57,243.38x = 7,091,260,942.64
  5. Step 5: Solve for x
    x = 7,091,260,942.64/57,243.38
  6. Step 6: Final answer
    x = 123,879.16

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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.