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Finding the Third Proportional to 83,906 and 124,723

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Solution

The third proportional to 83,906 and 124,723 is: 185,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906 : 124,723 = 124,723 : x
  2. Step 2: Convert to fraction form
    83,906/124,723 = 124,723/x
  3. Step 3: Cross multiply
    83,906x = 124,723 × 124,723
  4. Step 4: Simplify right side
    83,906x = 15,555,826,729
  5. Step 5: Solve for x
    x = 15,555,826,729/83,906
  6. Step 6: Final answer
    x = 185,395.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.