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Finding the Third Proportional to 91,782 and 134,350

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Solution

The third proportional to 91,782 and 134,350 is: 196,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,782 : 134,350 = 134,350 : x
  2. Step 2: Convert to fraction form
    91,782/134,350 = 134,350/x
  3. Step 3: Cross multiply
    91,782x = 134,350 × 134,350
  4. Step 4: Simplify right side
    91,782x = 18,049,922,500
  5. Step 5: Solve for x
    x = 18,049,922,500/91,782
  6. Step 6: Final answer
    x = 196,660.81

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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.