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Finding the Third Proportional to 49,122 and 106,092

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Solution

The third proportional to 49,122 and 106,092 is: 229,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,122 : 106,092 = 106,092 : x
  2. Step 2: Convert to fraction form
    49,122/106,092 = 106,092/x
  3. Step 3: Cross multiply
    49,122x = 106,092 × 106,092
  4. Step 4: Simplify right side
    49,122x = 11,255,512,464
  5. Step 5: Solve for x
    x = 11,255,512,464/49,122
  6. Step 6: Final answer
    x = 229,133.84

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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.