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Finding the Third Proportional to 49,151 and 106,625

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Solution

The third proportional to 49,151 and 106,625 is: 231,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,151 : 106,625 = 106,625 : x
  2. Step 2: Convert to fraction form
    49,151/106,625 = 106,625/x
  3. Step 3: Cross multiply
    49,151x = 106,625 × 106,625
  4. Step 4: Simplify right side
    49,151x = 11,368,890,625
  5. Step 5: Solve for x
    x = 11,368,890,625/49,151
  6. Step 6: Final answer
    x = 231,305.38

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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.