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Finding the Third Proportional to 91,756 and 134,092

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Solution

The third proportional to 91,756 and 134,092 is: 195,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,756 : 134,092 = 134,092 : x
  2. Step 2: Convert to fraction form
    91,756/134,092 = 134,092/x
  3. Step 3: Cross multiply
    91,756x = 134,092 × 134,092
  4. Step 4: Simplify right side
    91,756x = 17,980,664,464
  5. Step 5: Solve for x
    x = 17,980,664,464/91,756
  6. Step 6: Final answer
    x = 195,961.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.