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Finding the Third Proportional to 43,074 and 92,406

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Solution

The third proportional to 43,074 and 92,406 is: 198,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,074 : 92,406 = 92,406 : x
  2. Step 2: Convert to fraction form
    43,074/92,406 = 92,406/x
  3. Step 3: Cross multiply
    43,074x = 92,406 × 92,406
  4. Step 4: Simplify right side
    43,074x = 8,538,868,836
  5. Step 5: Solve for x
    x = 8,538,868,836/43,074
  6. Step 6: Final answer
    x = 198,237.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.