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Finding the Third Proportional to 83,943 and 126,723

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Solution

The third proportional to 83,943 and 126,723 is: 191,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,943 : 126,723 = 126,723 : x
  2. Step 2: Convert to fraction form
    83,943/126,723 = 126,723/x
  3. Step 3: Cross multiply
    83,943x = 126,723 × 126,723
  4. Step 4: Simplify right side
    83,943x = 16,058,718,729
  5. Step 5: Solve for x
    x = 16,058,718,729/83,943
  6. Step 6: Final answer
    x = 191,305.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.