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Finding the Third Proportional to 135,775.13 and 189,912

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Solution

The third proportional to 135,775.13 and 189,912 is: 265,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,775.13 : 189,912 = 189,912 : x
  2. Step 2: Convert to fraction form
    135,775.13/189,912 = 189,912/x
  3. Step 3: Cross multiply
    135,775.13x = 189,912 × 189,912
  4. Step 4: Simplify right side
    135,775.13x = 36,066,567,744
  5. Step 5: Solve for x
    x = 36,066,567,744/135,775.13
  6. Step 6: Final answer
    x = 265,634.58

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