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Finding the Third Proportional to 51,326 and 106,732

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Solution

The third proportional to 51,326 and 106,732 is: 221,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,326 : 106,732 = 106,732 : x
  2. Step 2: Convert to fraction form
    51,326/106,732 = 106,732/x
  3. Step 3: Cross multiply
    51,326x = 106,732 × 106,732
  4. Step 4: Simplify right side
    51,326x = 11,391,719,824
  5. Step 5: Solve for x
    x = 11,391,719,824/51,326
  6. Step 6: Final answer
    x = 221,948.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.