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Finding the Third Proportional to 62,824 and 136,556

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Solution

The third proportional to 62,824 and 136,556 is: 296,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,824 : 136,556 = 136,556 : x
  2. Step 2: Convert to fraction form
    62,824/136,556 = 136,556/x
  3. Step 3: Cross multiply
    62,824x = 136,556 × 136,556
  4. Step 4: Simplify right side
    62,824x = 18,647,541,136
  5. Step 5: Solve for x
    x = 18,647,541,136/62,824
  6. Step 6: Final answer
    x = 296,821.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.