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Finding the Third Proportional to 101,910 and 135,917

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Solution

The third proportional to 101,910 and 135,917 is: 181,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910 : 135,917 = 135,917 : x
  2. Step 2: Convert to fraction form
    101,910/135,917 = 135,917/x
  3. Step 3: Cross multiply
    101,910x = 135,917 × 135,917
  4. Step 4: Simplify right side
    101,910x = 18,473,430,889
  5. Step 5: Solve for x
    x = 18,473,430,889/101,910
  6. Step 6: Final answer
    x = 181,272.01

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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.