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Finding the Third Proportional to 121,712.63 and 189,114.75

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Solution

The third proportional to 121,712.63 and 189,114.75 is: 293,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,712.63 : 189,114.75 = 189,114.75 : x
  2. Step 2: Convert to fraction form
    121,712.63/189,114.75 = 189,114.75/x
  3. Step 3: Cross multiply
    121,712.63x = 189,114.75 × 189,114.75
  4. Step 4: Simplify right side
    121,712.63x = 35,764,388,667.56
  5. Step 5: Solve for x
    x = 35,764,388,667.56/121,712.63
  6. Step 6: Final answer
    x = 293,842.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.