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Finding the Third Proportional to 49,065 and 106,266

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Solution

The third proportional to 49,065 and 106,266 is: 230,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065 : 106,266 = 106,266 : x
  2. Step 2: Convert to fraction form
    49,065/106,266 = 106,266/x
  3. Step 3: Cross multiply
    49,065x = 106,266 × 106,266
  4. Step 4: Simplify right side
    49,065x = 11,292,462,756
  5. Step 5: Solve for x
    x = 11,292,462,756/49,065
  6. Step 6: Final answer
    x = 230,153.12

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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.