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Finding the Third Proportional to 55,476.56 and 90,578.25

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Solution

The third proportional to 55,476.56 and 90,578.25 is: 147,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476.56 : 90,578.25 = 90,578.25 : x
  2. Step 2: Convert to fraction form
    55,476.56/90,578.25 = 90,578.25/x
  3. Step 3: Cross multiply
    55,476.56x = 90,578.25 × 90,578.25
  4. Step 4: Simplify right side
    55,476.56x = 8,204,419,373.06
  5. Step 5: Solve for x
    x = 8,204,419,373.06/55,476.56
  6. Step 6: Final answer
    x = 147,889.83

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.