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Finding the Third Proportional to 49,877 and 106,760

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Solution

The third proportional to 49,877 and 106,760 is: 228,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,877 : 106,760 = 106,760 : x
  2. Step 2: Convert to fraction form
    49,877/106,760 = 106,760/x
  3. Step 3: Cross multiply
    49,877x = 106,760 × 106,760
  4. Step 4: Simplify right side
    49,877x = 11,397,697,600
  5. Step 5: Solve for x
    x = 11,397,697,600/49,877
  6. Step 6: Final answer
    x = 228,516.10

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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.