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Finding the Third Proportional to 126,042 and 189,063

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Solution

The third proportional to 126,042 and 189,063 is: 283,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,042 : 189,063 = 189,063 : x
  2. Step 2: Convert to fraction form
    126,042/189,063 = 189,063/x
  3. Step 3: Cross multiply
    126,042x = 189,063 × 189,063
  4. Step 4: Simplify right side
    126,042x = 35,744,817,969
  5. Step 5: Solve for x
    x = 35,744,817,969/126,042
  6. Step 6: Final answer
    x = 283,594.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.