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Finding the Third Proportional to 54,324.42 and 83,107.27

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Solution

The third proportional to 54,324.42 and 83,107.27 is: 127,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.42 : 83,107.27 = 83,107.27 : x
  2. Step 2: Convert to fraction form
    54,324.42/83,107.27 = 83,107.27/x
  3. Step 3: Cross multiply
    54,324.42x = 83,107.27 × 83,107.27
  4. Step 4: Simplify right side
    54,324.42x = 6,906,817,599.66
  5. Step 5: Solve for x
    x = 6,906,817,599.66/54,324.42
  6. Step 6: Final answer
    x = 127,140.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.