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Finding the Third Proportional to 49,762 and 106,928

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Solution

The third proportional to 49,762 and 106,928 is: 229,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762 : 106,928 = 106,928 : x
  2. Step 2: Convert to fraction form
    49,762/106,928 = 106,928/x
  3. Step 3: Cross multiply
    49,762x = 106,928 × 106,928
  4. Step 4: Simplify right side
    49,762x = 11,433,597,184
  5. Step 5: Solve for x
    x = 11,433,597,184/49,762
  6. Step 6: Final answer
    x = 229,765.63

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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.