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Finding the Third Proportional to 62,305 and 132,766

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Solution

The third proportional to 62,305 and 132,766 is: 282,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,305 : 132,766 = 132,766 : x
  2. Step 2: Convert to fraction form
    62,305/132,766 = 132,766/x
  3. Step 3: Cross multiply
    62,305x = 132,766 × 132,766
  4. Step 4: Simplify right side
    62,305x = 17,626,810,756
  5. Step 5: Solve for x
    x = 17,626,810,756/62,305
  6. Step 6: Final answer
    x = 282,911.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.