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Finding the Third Proportional to 79,668 and 108,264

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Solution

The third proportional to 79,668 and 108,264 is: 147,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,668 : 108,264 = 108,264 : x
  2. Step 2: Convert to fraction form
    79,668/108,264 = 108,264/x
  3. Step 3: Cross multiply
    79,668x = 108,264 × 108,264
  4. Step 4: Simplify right side
    79,668x = 11,721,093,696
  5. Step 5: Solve for x
    x = 11,721,093,696/79,668
  6. Step 6: Final answer
    x = 147,124.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.