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Finding the Third Proportional to 101,601 and 154,426.50

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Solution

The third proportional to 101,601 and 154,426.50 is: 234,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,601 : 154,426.50 = 154,426.50 : x
  2. Step 2: Convert to fraction form
    101,601/154,426.50 = 154,426.50/x
  3. Step 3: Cross multiply
    101,601x = 154,426.50 × 154,426.50
  4. Step 4: Simplify right side
    101,601x = 23,847,543,902.25
  5. Step 5: Solve for x
    x = 23,847,543,902.25/101,601
  6. Step 6: Final answer
    x = 234,717.61

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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.