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Finding the Third Proportional to 101,908 and 135,914

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Solution

The third proportional to 101,908 and 135,914 is: 181,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908 : 135,914 = 135,914 : x
  2. Step 2: Convert to fraction form
    101,908/135,914 = 135,914/x
  3. Step 3: Cross multiply
    101,908x = 135,914 × 135,914
  4. Step 4: Simplify right side
    101,908x = 18,472,615,396
  5. Step 5: Solve for x
    x = 18,472,615,396/101,908
  6. Step 6: Final answer
    x = 181,267.57

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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.