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Finding the Third Proportional to 44,129 and 104,087

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Solution

The third proportional to 44,129 and 104,087 is: 245,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,129 : 104,087 = 104,087 : x
  2. Step 2: Convert to fraction form
    44,129/104,087 = 104,087/x
  3. Step 3: Cross multiply
    44,129x = 104,087 × 104,087
  4. Step 4: Simplify right side
    44,129x = 10,834,103,569
  5. Step 5: Solve for x
    x = 10,834,103,569/44,129
  6. Step 6: Final answer
    x = 245,509.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.