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Finding the Third Proportional to 101,912 and 135,920

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Solution

The third proportional to 101,912 and 135,920 is: 181,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,912 : 135,920 = 135,920 : x
  2. Step 2: Convert to fraction form
    101,912/135,920 = 135,920/x
  3. Step 3: Cross multiply
    101,912x = 135,920 × 135,920
  4. Step 4: Simplify right side
    101,912x = 18,474,246,400
  5. Step 5: Solve for x
    x = 18,474,246,400/101,912
  6. Step 6: Final answer
    x = 181,276.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.