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Finding the Third Proportional to 53,949.38 and 81,673.31

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Solution

The third proportional to 53,949.38 and 81,673.31 is: 123,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,949.38 : 81,673.31 = 81,673.31 : x
  2. Step 2: Convert to fraction form
    53,949.38/81,673.31 = 81,673.31/x
  3. Step 3: Cross multiply
    53,949.38x = 81,673.31 × 81,673.31
  4. Step 4: Simplify right side
    53,949.38x = 6,670,529,974.72
  5. Step 5: Solve for x
    x = 6,670,529,974.72/53,949.38
  6. Step 6: Final answer
    x = 123,644.25

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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.