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Finding the Third Proportional to 90,434.25 and 133,035.75

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Solution

The third proportional to 90,434.25 and 133,035.75 is: 195,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,434.25 : 133,035.75 = 133,035.75 : x
  2. Step 2: Convert to fraction form
    90,434.25/133,035.75 = 133,035.75/x
  3. Step 3: Cross multiply
    90,434.25x = 133,035.75 × 133,035.75
  4. Step 4: Simplify right side
    90,434.25x = 17,698,510,778.06
  5. Step 5: Solve for x
    x = 17,698,510,778.06/90,434.25
  6. Step 6: Final answer
    x = 195,705.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.