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Finding the Third Proportional to 49,911 and 107,124

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Solution

The third proportional to 49,911 and 107,124 is: 229,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911 : 107,124 = 107,124 : x
  2. Step 2: Convert to fraction form
    49,911/107,124 = 107,124/x
  3. Step 3: Cross multiply
    49,911x = 107,124 × 107,124
  4. Step 4: Simplify right side
    49,911x = 11,475,551,376
  5. Step 5: Solve for x
    x = 11,475,551,376/49,911
  6. Step 6: Final answer
    x = 229,920.29

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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.