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Finding the Third Proportional to 100,344 and 136,674

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Solution

The third proportional to 100,344 and 136,674 is: 186,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344 : 136,674 = 136,674 : x
  2. Step 2: Convert to fraction form
    100,344/136,674 = 136,674/x
  3. Step 3: Cross multiply
    100,344x = 136,674 × 136,674
  4. Step 4: Simplify right side
    100,344x = 18,679,782,276
  5. Step 5: Solve for x
    x = 18,679,782,276/100,344
  6. Step 6: Final answer
    x = 186,157.44

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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.