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Finding the Third Proportional to 49,960 and 107,026

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Solution

The third proportional to 49,960 and 107,026 is: 229,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,960 : 107,026 = 107,026 : x
  2. Step 2: Convert to fraction form
    49,960/107,026 = 107,026/x
  3. Step 3: Cross multiply
    49,960x = 107,026 × 107,026
  4. Step 4: Simplify right side
    49,960x = 11,454,564,676
  5. Step 5: Solve for x
    x = 11,454,564,676/49,960
  6. Step 6: Final answer
    x = 229,274.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.