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Finding the Third Proportional to 49,780 and 107,477

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Solution

The third proportional to 49,780 and 107,477 is: 232,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,780 : 107,477 = 107,477 : x
  2. Step 2: Convert to fraction form
    49,780/107,477 = 107,477/x
  3. Step 3: Cross multiply
    49,780x = 107,477 × 107,477
  4. Step 4: Simplify right side
    49,780x = 11,551,305,529
  5. Step 5: Solve for x
    x = 11,551,305,529/49,780
  6. Step 6: Final answer
    x = 232,047.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.