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Finding the Third Proportional to 91,751 and 134,086

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Solution

The third proportional to 91,751 and 134,086 is: 195,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,751 : 134,086 = 134,086 : x
  2. Step 2: Convert to fraction form
    91,751/134,086 = 134,086/x
  3. Step 3: Cross multiply
    91,751x = 134,086 × 134,086
  4. Step 4: Simplify right side
    91,751x = 17,979,055,396
  5. Step 5: Solve for x
    x = 17,979,055,396/91,751
  6. Step 6: Final answer
    x = 195,954.87

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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.