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Finding the Third Proportional to 79,776 and 117,824

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Solution

The third proportional to 79,776 and 117,824 is: 174,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,776 : 117,824 = 117,824 : x
  2. Step 2: Convert to fraction form
    79,776/117,824 = 117,824/x
  3. Step 3: Cross multiply
    79,776x = 117,824 × 117,824
  4. Step 4: Simplify right side
    79,776x = 13,882,494,976
  5. Step 5: Solve for x
    x = 13,882,494,976/79,776
  6. Step 6: Final answer
    x = 174,018.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.