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Finding the Third Proportional to 59,367.94 and 127,040.06

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Solution

The third proportional to 59,367.94 and 127,040.06 is: 271,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,367.94 : 127,040.06 = 127,040.06 : x
  2. Step 2: Convert to fraction form
    59,367.94/127,040.06 = 127,040.06/x
  3. Step 3: Cross multiply
    59,367.94x = 127,040.06 × 127,040.06
  4. Step 4: Simplify right side
    59,367.94x = 16,139,177,480.00
  5. Step 5: Solve for x
    x = 16,139,177,480.00/59,367.94
  6. Step 6: Final answer
    x = 271,850.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.