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Finding the Third Proportional to 43,664 and 93,556

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Solution

The third proportional to 43,664 and 93,556 is: 200,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664 : 93,556 = 93,556 : x
  2. Step 2: Convert to fraction form
    43,664/93,556 = 93,556/x
  3. Step 3: Cross multiply
    43,664x = 93,556 × 93,556
  4. Step 4: Simplify right side
    43,664x = 8,752,725,136
  5. Step 5: Solve for x
    x = 8,752,725,136/43,664
  6. Step 6: Final answer
    x = 200,456.33

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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.