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Finding the Third Proportional to 43,082 and 91,382

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Solution

The third proportional to 43,082 and 91,382 is: 193,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,082 : 91,382 = 91,382 : x
  2. Step 2: Convert to fraction form
    43,082/91,382 = 91,382/x
  3. Step 3: Cross multiply
    43,082x = 91,382 × 91,382
  4. Step 4: Simplify right side
    43,082x = 8,350,669,924
  5. Step 5: Solve for x
    x = 8,350,669,924/43,082
  6. Step 6: Final answer
    x = 193,831.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.