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Finding the Third Proportional to 126,766 and 189,753

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Solution

The third proportional to 126,766 and 189,753 is: 284,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,766 : 189,753 = 189,753 : x
  2. Step 2: Convert to fraction form
    126,766/189,753 = 189,753/x
  3. Step 3: Cross multiply
    126,766x = 189,753 × 189,753
  4. Step 4: Simplify right side
    126,766x = 36,006,201,009
  5. Step 5: Solve for x
    x = 36,006,201,009/126,766
  6. Step 6: Final answer
    x = 284,036.74

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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.