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Finding the Third Proportional to 91,036 and 136,812

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Solution

The third proportional to 91,036 and 136,812 is: 205,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,036 : 136,812 = 136,812 : x
  2. Step 2: Convert to fraction form
    91,036/136,812 = 136,812/x
  3. Step 3: Cross multiply
    91,036x = 136,812 × 136,812
  4. Step 4: Simplify right side
    91,036x = 18,717,523,344
  5. Step 5: Solve for x
    x = 18,717,523,344/91,036
  6. Step 6: Final answer
    x = 205,605.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.