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Finding the Third Proportional to 90,516 and 133,063

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Solution

The third proportional to 90,516 and 133,063 is: 195,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,516 : 133,063 = 133,063 : x
  2. Step 2: Convert to fraction form
    90,516/133,063 = 133,063/x
  3. Step 3: Cross multiply
    90,516x = 133,063 × 133,063
  4. Step 4: Simplify right side
    90,516x = 17,705,761,969
  5. Step 5: Solve for x
    x = 17,705,761,969/90,516
  6. Step 6: Final answer
    x = 195,609.20

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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.