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Finding the Third Proportional to 135,777 and 189,914.25

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Solution

The third proportional to 135,777 and 189,914.25 is: 265,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,777 : 189,914.25 = 189,914.25 : x
  2. Step 2: Convert to fraction form
    135,777/189,914.25 = 189,914.25/x
  3. Step 3: Cross multiply
    135,777x = 189,914.25 × 189,914.25
  4. Step 4: Simplify right side
    135,777x = 36,067,422,353.06
  5. Step 5: Solve for x
    x = 36,067,422,353.06/135,777
  6. Step 6: Final answer
    x = 265,637.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.