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Finding the Third Proportional to 49,365 and 106,026

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Solution

The third proportional to 49,365 and 106,026 is: 227,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,365 : 106,026 = 106,026 : x
  2. Step 2: Convert to fraction form
    49,365/106,026 = 106,026/x
  3. Step 3: Cross multiply
    49,365x = 106,026 × 106,026
  4. Step 4: Simplify right side
    49,365x = 11,241,512,676
  5. Step 5: Solve for x
    x = 11,241,512,676/49,365
  6. Step 6: Final answer
    x = 227,722.33

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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.