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Finding the Third Proportional to 100,450 and 136,424

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Solution

The third proportional to 100,450 and 136,424 is: 185,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,450 : 136,424 = 136,424 : x
  2. Step 2: Convert to fraction form
    100,450/136,424 = 136,424/x
  3. Step 3: Cross multiply
    100,450x = 136,424 × 136,424
  4. Step 4: Simplify right side
    100,450x = 18,611,507,776
  5. Step 5: Solve for x
    x = 18,611,507,776/100,450
  6. Step 6: Final answer
    x = 185,281.31

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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.