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Finding the Third Proportional to 42,393 and 91,347

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Solution

The third proportional to 42,393 and 91,347 is: 196,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,393 : 91,347 = 91,347 : x
  2. Step 2: Convert to fraction form
    42,393/91,347 = 91,347/x
  3. Step 3: Cross multiply
    42,393x = 91,347 × 91,347
  4. Step 4: Simplify right side
    42,393x = 8,344,274,409
  5. Step 5: Solve for x
    x = 8,344,274,409/42,393
  6. Step 6: Final answer
    x = 196,831.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.