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Finding the Third Proportional to 90,546.75 and 137,325.38

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Solution

The third proportional to 90,546.75 and 137,325.38 is: 208,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,546.75 : 137,325.38 = 137,325.38 : x
  2. Step 2: Convert to fraction form
    90,546.75/137,325.38 = 137,325.38/x
  3. Step 3: Cross multiply
    90,546.75x = 137,325.38 × 137,325.38
  4. Step 4: Simplify right side
    90,546.75x = 18,858,258,618.89
  5. Step 5: Solve for x
    x = 18,858,258,618.89/90,546.75
  6. Step 6: Final answer
    x = 208,270.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.