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Finding the Third Proportional to 43,746 and 67,867

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Solution

The third proportional to 43,746 and 67,867 is: 105,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746 : 67,867 = 67,867 : x
  2. Step 2: Convert to fraction form
    43,746/67,867 = 67,867/x
  3. Step 3: Cross multiply
    43,746x = 67,867 × 67,867
  4. Step 4: Simplify right side
    43,746x = 4,605,929,689
  5. Step 5: Solve for x
    x = 4,605,929,689/43,746
  6. Step 6: Final answer
    x = 105,288.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.