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Finding the Third Proportional to 100,338 and 136,665

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Solution

The third proportional to 100,338 and 136,665 is: 186,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338 : 136,665 = 136,665 : x
  2. Step 2: Convert to fraction form
    100,338/136,665 = 136,665/x
  3. Step 3: Cross multiply
    100,338x = 136,665 × 136,665
  4. Step 4: Simplify right side
    100,338x = 18,677,322,225
  5. Step 5: Solve for x
    x = 18,677,322,225/100,338
  6. Step 6: Final answer
    x = 186,144.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.