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Finding the Third Proportional to 62,326 and 133,395

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Solution

The third proportional to 62,326 and 133,395 is: 285,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,326 : 133,395 = 133,395 : x
  2. Step 2: Convert to fraction form
    62,326/133,395 = 133,395/x
  3. Step 3: Cross multiply
    62,326x = 133,395 × 133,395
  4. Step 4: Simplify right side
    62,326x = 17,794,226,025
  5. Step 5: Solve for x
    x = 17,794,226,025/62,326
  6. Step 6: Final answer
    x = 285,502.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.