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Finding the Third Proportional to 90,258.75 and 135,195.75

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Solution

The third proportional to 90,258.75 and 135,195.75 is: 202,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,258.75 : 135,195.75 = 135,195.75 : x
  2. Step 2: Convert to fraction form
    90,258.75/135,195.75 = 135,195.75/x
  3. Step 3: Cross multiply
    90,258.75x = 135,195.75 × 135,195.75
  4. Step 4: Simplify right side
    90,258.75x = 18,277,890,818.06
  5. Step 5: Solve for x
    x = 18,277,890,818.06/90,258.75
  6. Step 6: Final answer
    x = 202,505.47

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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.