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Finding the Third Proportional to 126,116 and 189,192

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Solution

The third proportional to 126,116 and 189,192 is: 283,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,116 : 189,192 = 189,192 : x
  2. Step 2: Convert to fraction form
    126,116/189,192 = 189,192/x
  3. Step 3: Cross multiply
    126,116x = 189,192 × 189,192
  4. Step 4: Simplify right side
    126,116x = 35,793,612,864
  5. Step 5: Solve for x
    x = 35,793,612,864/126,116
  6. Step 6: Final answer
    x = 283,815.00

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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.