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Finding the Third Proportional to 49,462 and 107,130

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Solution

The third proportional to 49,462 and 107,130 is: 232,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462 : 107,130 = 107,130 : x
  2. Step 2: Convert to fraction form
    49,462/107,130 = 107,130/x
  3. Step 3: Cross multiply
    49,462x = 107,130 × 107,130
  4. Step 4: Simplify right side
    49,462x = 11,476,836,900
  5. Step 5: Solve for x
    x = 11,476,836,900/49,462
  6. Step 6: Final answer
    x = 232,033.42

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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.