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Finding the Third Proportional to 49,369 and 106,942

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Solution

The third proportional to 49,369 and 106,942 is: 231,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,369 : 106,942 = 106,942 : x
  2. Step 2: Convert to fraction form
    49,369/106,942 = 106,942/x
  3. Step 3: Cross multiply
    49,369x = 106,942 × 106,942
  4. Step 4: Simplify right side
    49,369x = 11,436,591,364
  5. Step 5: Solve for x
    x = 11,436,591,364/49,369
  6. Step 6: Final answer
    x = 231,655.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.