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Finding the Third Proportional to 43,146 and 91,476

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Solution

The third proportional to 43,146 and 91,476 is: 193,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,146 : 91,476 = 91,476 : x
  2. Step 2: Convert to fraction form
    43,146/91,476 = 91,476/x
  3. Step 3: Cross multiply
    43,146x = 91,476 × 91,476
  4. Step 4: Simplify right side
    43,146x = 8,367,858,576
  5. Step 5: Solve for x
    x = 8,367,858,576/43,146
  6. Step 6: Final answer
    x = 193,942.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.