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Finding the Third Proportional to 121,346.72 and 189,942.19

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Solution

The third proportional to 121,346.72 and 189,942.19 is: 297,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,346.72 : 189,942.19 = 189,942.19 : x
  2. Step 2: Convert to fraction form
    121,346.72/189,942.19 = 189,942.19/x
  3. Step 3: Cross multiply
    121,346.72x = 189,942.19 × 189,942.19
  4. Step 4: Simplify right side
    121,346.72x = 36,078,034,592.29
  5. Step 5: Solve for x
    x = 36,078,034,592.29/121,346.72
  6. Step 6: Final answer
    x = 297,313.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.