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Finding the Third Proportional to 49,370 and 108,394

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Solution

The third proportional to 49,370 and 108,394 is: 237,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,370 : 108,394 = 108,394 : x
  2. Step 2: Convert to fraction form
    49,370/108,394 = 108,394/x
  3. Step 3: Cross multiply
    49,370x = 108,394 × 108,394
  4. Step 4: Simplify right side
    49,370x = 11,749,259,236
  5. Step 5: Solve for x
    x = 11,749,259,236/49,370
  6. Step 6: Final answer
    x = 237,983.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.