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Finding the Third Proportional to 49,461 and 107,129

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Solution

The third proportional to 49,461 and 107,129 is: 232,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,461 : 107,129 = 107,129 : x
  2. Step 2: Convert to fraction form
    49,461/107,129 = 107,129/x
  3. Step 3: Cross multiply
    49,461x = 107,129 × 107,129
  4. Step 4: Simplify right side
    49,461x = 11,476,622,641
  5. Step 5: Solve for x
    x = 11,476,622,641/49,461
  6. Step 6: Final answer
    x = 232,033.78

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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.