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Finding the Third Proportional to 43,157 and 67,814

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Solution

The third proportional to 43,157 and 67,814 is: 106,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,157 : 67,814 = 67,814 : x
  2. Step 2: Convert to fraction form
    43,157/67,814 = 67,814/x
  3. Step 3: Cross multiply
    43,157x = 67,814 × 67,814
  4. Step 4: Simplify right side
    43,157x = 4,598,738,596
  5. Step 5: Solve for x
    x = 4,598,738,596/43,157
  6. Step 6: Final answer
    x = 106,558.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.