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Finding the Third Proportional to 55,129.36 and 82,476.98

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Solution

The third proportional to 55,129.36 and 82,476.98 is: 123,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,129.36 : 82,476.98 = 82,476.98 : x
  2. Step 2: Convert to fraction form
    55,129.36/82,476.98 = 82,476.98/x
  3. Step 3: Cross multiply
    55,129.36x = 82,476.98 × 82,476.98
  4. Step 4: Simplify right side
    55,129.36x = 6,802,452,951.59
  5. Step 5: Solve for x
    x = 6,802,452,951.59/55,129.36
  6. Step 6: Final answer
    x = 123,390.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.