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Finding the Third Proportional to 43,092 and 67,716

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Solution

The third proportional to 43,092 and 67,716 is: 106,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,092 : 67,716 = 67,716 : x
  2. Step 2: Convert to fraction form
    43,092/67,716 = 67,716/x
  3. Step 3: Cross multiply
    43,092x = 67,716 × 67,716
  4. Step 4: Simplify right side
    43,092x = 4,585,456,656
  5. Step 5: Solve for x
    x = 4,585,456,656/43,092
  6. Step 6: Final answer
    x = 106,410.86

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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.