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Finding the Third Proportional to 43,656 and 67,142

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Solution

The third proportional to 43,656 and 67,142 is: 103,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,656 : 67,142 = 67,142 : x
  2. Step 2: Convert to fraction form
    43,656/67,142 = 67,142/x
  3. Step 3: Cross multiply
    43,656x = 67,142 × 67,142
  4. Step 4: Simplify right side
    43,656x = 4,508,048,164
  5. Step 5: Solve for x
    x = 4,508,048,164/43,656
  6. Step 6: Final answer
    x = 103,262.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.