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Finding the Third Proportional to 49,092 and 106,026

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Solution

The third proportional to 49,092 and 106,026 is: 228,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092 : 106,026 = 106,026 : x
  2. Step 2: Convert to fraction form
    49,092/106,026 = 106,026/x
  3. Step 3: Cross multiply
    49,092x = 106,026 × 106,026
  4. Step 4: Simplify right side
    49,092x = 11,241,512,676
  5. Step 5: Solve for x
    x = 11,241,512,676/49,092
  6. Step 6: Final answer
    x = 228,988.69

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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.