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Finding the Third Proportional to 52,006 and 106,476

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Solution

The third proportional to 52,006 and 106,476 is: 217,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006 : 106,476 = 106,476 : x
  2. Step 2: Convert to fraction form
    52,006/106,476 = 106,476/x
  3. Step 3: Cross multiply
    52,006x = 106,476 × 106,476
  4. Step 4: Simplify right side
    52,006x = 11,337,138,576
  5. Step 5: Solve for x
    x = 11,337,138,576/52,006
  6. Step 6: Final answer
    x = 217,996.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.