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Finding the Third Proportional to 54,664.88 and 81,713.81

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Solution

The third proportional to 54,664.88 and 81,713.81 is: 122,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,664.88 : 81,713.81 = 81,713.81 : x
  2. Step 2: Convert to fraction form
    54,664.88/81,713.81 = 81,713.81/x
  3. Step 3: Cross multiply
    54,664.88x = 81,713.81 × 81,713.81
  4. Step 4: Simplify right side
    54,664.88x = 6,677,147,153.29
  5. Step 5: Solve for x
    x = 6,677,147,153.29/54,664.88
  6. Step 6: Final answer
    x = 122,146.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.