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Finding the Third Proportional to 135,774.50 and 189,911

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Solution

The third proportional to 135,774.50 and 189,911 is: 265,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,774.50 : 189,911 = 189,911 : x
  2. Step 2: Convert to fraction form
    135,774.50/189,911 = 189,911/x
  3. Step 3: Cross multiply
    135,774.50x = 189,911 × 189,911
  4. Step 4: Simplify right side
    135,774.50x = 36,066,187,921
  5. Step 5: Solve for x
    x = 36,066,187,921/135,774.50
  6. Step 6: Final answer
    x = 265,633.00

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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.