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Finding the Third Proportional to 49,662 and 106,431

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Solution

The third proportional to 49,662 and 106,431 is: 228,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,662 : 106,431 = 106,431 : x
  2. Step 2: Convert to fraction form
    49,662/106,431 = 106,431/x
  3. Step 3: Cross multiply
    49,662x = 106,431 × 106,431
  4. Step 4: Simplify right side
    49,662x = 11,327,557,761
  5. Step 5: Solve for x
    x = 11,327,557,761/49,662
  6. Step 6: Final answer
    x = 228,093.06

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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.