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Finding the Third Proportional to 126,111 and 192,861

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Solution

The third proportional to 126,111 and 192,861 is: 294,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,111 : 192,861 = 192,861 : x
  2. Step 2: Convert to fraction form
    126,111/192,861 = 192,861/x
  3. Step 3: Cross multiply
    126,111x = 192,861 × 192,861
  4. Step 4: Simplify right side
    126,111x = 37,195,365,321
  5. Step 5: Solve for x
    x = 37,195,365,321/126,111
  6. Step 6: Final answer
    x = 294,941.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.