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Finding the Third Proportional to 101,956 and 155,094

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Solution

The third proportional to 101,956 and 155,094 is: 235,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,956 : 155,094 = 155,094 : x
  2. Step 2: Convert to fraction form
    101,956/155,094 = 155,094/x
  3. Step 3: Cross multiply
    101,956x = 155,094 × 155,094
  4. Step 4: Simplify right side
    101,956x = 24,054,148,836
  5. Step 5: Solve for x
    x = 24,054,148,836/101,956
  6. Step 6: Final answer
    x = 235,926.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.