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Finding the Third Proportional to 90,558 and 133,062

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Solution

The third proportional to 90,558 and 133,062 is: 195,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,558 : 133,062 = 133,062 : x
  2. Step 2: Convert to fraction form
    90,558/133,062 = 133,062/x
  3. Step 3: Cross multiply
    90,558x = 133,062 × 133,062
  4. Step 4: Simplify right side
    90,558x = 17,705,495,844
  5. Step 5: Solve for x
    x = 17,705,495,844/90,558
  6. Step 6: Final answer
    x = 195,515.54

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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.