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Finding the Third Proportional to 104,482 and 136,107

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Solution

The third proportional to 104,482 and 136,107 is: 177,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,482 : 136,107 = 136,107 : x
  2. Step 2: Convert to fraction form
    104,482/136,107 = 136,107/x
  3. Step 3: Cross multiply
    104,482x = 136,107 × 136,107
  4. Step 4: Simplify right side
    104,482x = 18,525,115,449
  5. Step 5: Solve for x
    x = 18,525,115,449/104,482
  6. Step 6: Final answer
    x = 177,304.37

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.