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Finding the Third Proportional to 106,424 and 154,956

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Solution

The third proportional to 106,424 and 154,956 is: 225,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,424 : 154,956 = 154,956 : x
  2. Step 2: Convert to fraction form
    106,424/154,956 = 154,956/x
  3. Step 3: Cross multiply
    106,424x = 154,956 × 154,956
  4. Step 4: Simplify right side
    106,424x = 24,011,361,936
  5. Step 5: Solve for x
    x = 24,011,361,936/106,424
  6. Step 6: Final answer
    x = 225,619.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.