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Finding the Third Proportional to 49,361 and 70,349

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Solution

The third proportional to 49,361 and 70,349 is: 100,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,361 : 70,349 = 70,349 : x
  2. Step 2: Convert to fraction form
    49,361/70,349 = 70,349/x
  3. Step 3: Cross multiply
    49,361x = 70,349 × 70,349
  4. Step 4: Simplify right side
    49,361x = 4,948,981,801
  5. Step 5: Solve for x
    x = 4,948,981,801/49,361
  6. Step 6: Final answer
    x = 100,260.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.