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Finding the Third Proportional to 49,295 and 106,894

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Solution

The third proportional to 49,295 and 106,894 is: 231,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,295 : 106,894 = 106,894 : x
  2. Step 2: Convert to fraction form
    49,295/106,894 = 106,894/x
  3. Step 3: Cross multiply
    49,295x = 106,894 × 106,894
  4. Step 4: Simplify right side
    49,295x = 11,426,327,236
  5. Step 5: Solve for x
    x = 11,426,327,236/49,295
  6. Step 6: Final answer
    x = 231,794.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.