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Finding the Third Proportional to 90,591.50 and 133,222.75

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Solution

The third proportional to 90,591.50 and 133,222.75 is: 195,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,591.50 : 133,222.75 = 133,222.75 : x
  2. Step 2: Convert to fraction form
    90,591.50/133,222.75 = 133,222.75/x
  3. Step 3: Cross multiply
    90,591.50x = 133,222.75 × 133,222.75
  4. Step 4: Simplify right side
    90,591.50x = 17,748,301,117.56
  5. Step 5: Solve for x
    x = 17,748,301,117.56/90,591.50
  6. Step 6: Final answer
    x = 195,915.74

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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.