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Finding the Third Proportional to 53,611.80 and 116,049.82

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Solution

The third proportional to 53,611.80 and 116,049.82 is: 251,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,611.80 : 116,049.82 = 116,049.82 : x
  2. Step 2: Convert to fraction form
    53,611.80/116,049.82 = 116,049.82/x
  3. Step 3: Cross multiply
    53,611.80x = 116,049.82 × 116,049.82
  4. Step 4: Simplify right side
    53,611.80x = 13,467,561,474.54
  5. Step 5: Solve for x
    x = 13,467,561,474.54/53,611.80
  6. Step 6: Final answer
    x = 251,205.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.